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Kawazumi Nariya  河澄 響矢

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… Alternative Names

KAWAZUMI Nariya  河澄 響矢

河澄 響也  カワズミ ナリヤ

河澄 饗矢  カワズミ ナリヤ

河澄 響矢  カワズミ ナリヤ

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Researcher Number 30214646
Other IDs
External Links
Affiliation (Current) 2023: 東京大学, 大学院数理科学研究科, 教授
Affiliation (based on the past Project Information) *help 2019 – 2023: 東京大学, 大学院数理科学研究科, 教授
2014 – 2018: 東京大学, 大学院数理科学研究科, 准教授
2012 – 2016: 東京大学, 数理(科)学研究科(研究院), 准教授
2007 – 2013: The University of Tokyo, Mathematical Sciences, Associate Professor
2011: 東京大学, 数理科学研究科, 准教授 … More
2007: 東大, 数理(科)学研究科(研究院), 助教授
2006: University of Tokyo, Graduate School of Mathematical Sciences, Associate Professor, 大学院数理学研究科, 助教授
2005 – 2006: 東京大学, 大学院数理科学研究科, 助教授
1999 – 2005: 東京大学, 大学院・数理科学研究科, 助教授
2001: 東京大学, 大学院・数理科学研究所, 助教授
1998: 北海道大学, 大学院理学研究科, 助教授
1995 – 1998: 北海道大学, 大学院・理学研究科, 助教授
1997: 北海道大学, 大学院・理工学研究科, 助教授
1994: 北海道大学, 理学部, 講師
1991: 東京大学, 理学部, 助手
1989: 東京大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / Basic Section 11020:Geometry-related / Humanities and Social Sciences
Except Principal Investigator
Geometry / Geometry / Medium-sized Section 11:Algebra, geometry, and related fields / Basic Section 11020:Geometry-related / 代数学・幾何学 / Algebra / Humanities and Social Sciences
Keywords
Principal Investigator
リーマン面 / 写像類群 / モジュライ空間 / ジョンソン準同型 / マグナス展開 / ゴールドマン・トゥラエフ・リー双代数 / トゥラエフ余括弧積 / コホモロジー / 特性類 / ループ演算 … More / 自由群の自己同型群 / mapping class group / Magnus expansion / moduli space / Riemann surface / 超楕円的写像類群 / トポロジー / 発散コサイクル / ファットグラフ / 森田マンフォード類 / ゴールドマン・リー代数 / 森田・マンフォード類 / 曲面の対称性 / リーマン球面 / 複素解析 / リー代数 / ベクトル場 / トレミー亜群 / ねじれ係数コホモロジー / 亜群 / タイヒミュラー空間 / ゲート二重導分 / 安定コホモロジー / 二重導分 / 線型コード図式 / 非可換ポアソン幾何 / ベルヌーイ数 / 柏原・ヴェルニュ問題 / リー代数アーベル化 / フレーミング / ゴールドマン括弧積 / 柏原ヴェルニュ問題 / Johnson homomorphism / automorphism group of a free group / Stasheff associahedron / Morita-Mumford class / 森田マシフォード類 / 積分周期 / 擬等角変形 / 調和積分論 / スタシェフのアソシアヘドロン / マグナス表現 / スタシェフ結合多面体 / hyperelliptic mapping class group / Bruschi-Calogero equation / surface symmetry / Morita-Mumford classes / 楕円函数 / 森田・マニフォード類 / ブルスキ・カロジェロ方程式 / ホモロジカル・ゴールドマン・リー代数 / 形式的シンプレクティック幾何学 / 榎本-佐藤トレース / 無限次元リー代数 / 榎本佐藤トレース / 正則ホモトピー / 複素解析ベクトル場 / 複素解析的ベクトル場 / ゲルファント・フクス・コホモロジー / 複素解析葉層 / 位相幾何学 / ストリング・トポロジー / 形式的シンプレクティック幾何 / ピカール・レフシェッツ公式 / デーン・ツイスト / 非可換ピカール・レフシェッツ公式 / アラケロフ・グリーン函数 / 東西文化交流 / 『格体全録』 / 『満文算法原本』 / 東アジア海域における伝統的数学 / 暦算全書 / 格體全録 / 關流四伝書 / 満文性理精義 / 格体全録 / 満洲語 / 大成算經 / 書誌学 / 東アジア儒学思想史 / アルタイ言語学 / 清朝政治史 / 大成算経 / 関算四伝書 / 満洲語言語学 / 満文儒学文献 / 満文科学文献 / イエズス会 / 医学史 / 数学史 / 西学東漸 / 自由群 / アラケロフ計量 / 有限群 / ファルティンクス不変量 / アーベル微分 … More
Except Principal Investigator
写像類群 / 幾何学 / 離散群 / トポロジー / 多様体 / リーマン面 / 双曲幾何 / モジュライ空間 / 微分同相群 / 3次元多様体 / Teichmuller空間 / オートマトン / タイヒミュラー空間 / 葉層構造 / Klein群 / Riemann surface / mapping class group / 特性類 / 増大級数 / 双曲群 / 特異多様体 / アルティン群 / 力学系 / 位相幾何 / 4次元多様体 / 変形空間 / クライン群 / 数論的基本群 / 測地的代表元 / 3次元多様体 / 双曲構造 / アノソフ流 / Floer homotopy type / Floerホモトピー型 / monodromy / moduli space / ジョンソン準同形 / モノドロミー / Integrable system / 接触構造 / Web / 可積分系 / Integrable geodesic flow / 超楕円写像類群 / 可積分測地流 / singular varieties / characteristic classes / 無限群 / 二面体群 / ブレイド群 / 幾何学的群論 / 錐多様体 / 留数 / 特性類の局所化 / 増大関数 / 符号数 / コンパクト化 / 微分トポロジー / 分類空間 / シンプレクティック幾何 / ゲージ理論 / 位相不変量 / 局所化 / シンプレクティック微分 / シンプレクティック幾何学 / 双曲多様体 / 数論トポロジー / Teichmuller理論 / Johnson準同型 / Thurston非対称計量 / クラスター代数 / Finsler計量 / 増大度 / スータブル・スプレッド法 / ガーサイド標準形 / ガ―サイド標準形 / ケーリーグラフ / ザイフェルト・ファイバー空間 / グロタンディーク・タイヒミュラー理論 / 岩澤理論 / ポリログ関数 / 国際協力 / ガロア群 / 代数学 / 整数論 / 国際情報交換 / 数論的位相幾何学 / 基本群とガロア群 / 数論的ガロア理論 / 融合積 / ザイフェルト束 / ケーリー・グラフ / トーラス結び目群 / 有理関数表示 / 有限生成群 / Lefschetzファイバー空間 / automaton / discrete group / differential equation / deformation / hyperbolic structure / cone-structure / manifold / 合流操作 / 不確定特異点 / 確定特異点 / Fuchs型微分方程式 / 微分方程式 / 変形 / complex / Euler characteristic / mapping class groups / geometry / topology / cohomology / discrete groups / Davis-Vinberg複体 / 同変特性類 / 複体の幾何構造 / Artin群 / 群のコホモロジー / Steenrod作用素 / Coxeter群 / Riemann-Roch公式 / ホモロジー表現 / コホモロジー作用素 / 複体 / オイラー数 / コホモロジー / Morita-Mumford class / hyperbolic group / Teichmuller space / diffeomorphism group / 等長変換 / トーション / Magnus展開 / Alexander多項式 / 双曲幾何学 / サイバーグ・ウィッテン理論 / 写像群類 / 森田-マンフォード類 / invariant sets / dynamics of group actions / classifying spaces / diffeomorphism groups / geometric theory of groups / transformation grouns / infinite groups / 等長変換群 / 区分線形構造 / 極小集合 / 横断構造 / 幾何的群論 / 曲面束 / 無限変換群 / 不変集合 / 群作用のダイナミクス / 群の幾何的理論 / 変換群 / non-commutitire geometry / Volume conjecture / 3-dimensional manifold / Grothendieck-teichmuller group / tautological代数 / シンプレクティック群 / Mumford-Morita-Miller類 / 面積保存微分同相群 / 葉層曲面バンドル / Seiberg-witten理論 / Grothendieck-Teichmullerモジュラー群 / 森田Mumford類 / Seiberg-Witten理論 / 面積保存微分同相 / 葉層曲面束 / 非可換幾何 / 体積予想 / Grothendieck-Teichmuller群 / splitting / singular fiber / degeneration / Riemann surfaces / 擬周期写像 / 同伴不等式 / カンドル / 大域モノドロミー / Seiberg-witten方程式 / 分裂変形 / クアンドル / 大域的モノドロミー / 分裂 / 特異ファイバー / 退化 / Riemann-Roch theorem / coherent sheaves / multiplicity / Milnor class / Fulton-Johnson class / Schwartz-MacPherson class / localization of characteristic classes / Riemanu-Rochの定理 / Milnor数 / Fulton-Johnson類 / Riemann-Rochの定理 / 連接層 / 多重度 / Milnor類 / Fulton-Jphnsan類 / Schwartz-MacPherson類 / 特性類の局所他 / family of Riemann surfaces / Torelli group / ジョンソン準同型 / リーマン面の族 / トレリ群 / Semiclassical approximation / Geodesic flow / Liouville manifolds / Riemannian geometry / Symplectic geometry / Hamiltonian mechanics / クウヴィル多様体 / 半古典近似 / 測地線 / リウヴィル多様体 / リーマン多様体 / ハミルトン力学 / SYMPLECTIC GEOMETRY / THE INDEX THEOREM / CYCLIC COHOMOLORY / K-TEHORY / NONCOMMUTATIVE GEOMETRY / spectral flow / Maslov類 / K-理論 / 非可換微分幾何学 / 指数定理 / 巡回コホモロジー / K理論 / 非可換幾何学 / Higher Order ODE / First Order PDE / Non solvable Dynamics / Complex dynamics / Chern onnection / Foliation / 留数公式 / pseudo group / ルジャンドル / 一階微分方程式 / 高階偏微分方程式 / 高階拳微分方程式 / 一階偏微分方程式 / 非可解群作用 / 複素力学系 / CHERN接続 / 葉層 / WEB / Hyperelliptic mopping class groups / Lagrange Stability / Viscosity Solution / Quasi-linear First Order PDE / Hypergeometric Systems / Contact Transformation / 超幾何微分方程式系 / 同値問題 / 例外単純リー環 / 二階偏微分方程式系 / 二階の過剰決定系 / 例外形単純リー環 / 接触幾何学 / 準線形一階偏微分方程式 / 接触変換 / ラフランシュ安定性 / 超性解の分岐 / 準線形二階偏微分方程式 / 超幾何方程式系 / 接触交換 / localization / indices and residues / singular foliations / vector fields / 正則ベクトル場 / ベットル場 / 指数と留数 / 特異葉層構造 / ベクトル場 / 群論 / 微分幾何 / 野性的空間 / 空間形 / 2面体型 / ピソ数 / 二面体型 / p-harmonic map / quasi-homomorphisms / Alexandrov spaces / cat (0) cube complex / random groups / hyperbolic manifold / simplicial volume / 測度集中 / 離散群論 / 区間交換写像 / 擬準同型 / アレクサンドロフ空間 / 作用素環論 / 2次特性類 / 3次元トポロジー / 2次特性類 / 体積 / 計算機支援 / 幾何構造 / 3次元トポロジー / 複素解析幾何学 / アティヤ類 / 特異正則分布 / アティア類 / チャーン類 / 複素解析幾何 / 組みひも群 / 多様性 / 特異ファイバーの分裂 / 普遍退化族 / グルポイド / 局所符号数 / オービフォールド / 位相幾何学 / 位相亜群 / 離散部分群 / トーリックトポロジー / 結び目 / 群 / Morita-Mumford類 / 実解析的微分同相群 / 有限型不変量 / Hamiltonベクトル場 / ループ空間 / ホモロジー3球面 / ホモロジーシリンダー / 量子化予想 / 絶対ガロア群 / Gel'fand-Kalinin-Fuks理論 / 葉層構造の特性類 / 自由群 / グラフ / hierarchy / 曲線複体 / 幾何的極限 / Riemann面 / 歴史 / 東シナ海 / 寧波 / 伝統文化 / 日本文化 / 文化交流 / 海域 / 東アジア / シンプレクティック商 / シンプレティック商 / 超ケーラー多様体 / 超ケーラー商 / リ-マン面 / 曲面写像類 / モノドロミ- / 特異ファイバ- / フェルマ-多様体 / タイヒミュラ-群 / 組み紐群 / ガロア表現 / ホッジ構造 / L関数 / モジュラ-形式 Less
  • Research Projects

    (48 results)
  • Research Products

    (189 results)
  • Co-Researchers

    (143 People)
  •  Algebraic developments of topological studies around Riemann surfacesPrincipal Investigator

    • Principal Investigator
      河澄 響矢
    • Project Period (FY)
      2022 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      The University of Tokyo
  •  3次元トポロジーへの応用を目指した離散群の表現空間と大域幾何の研究

    • Principal Investigator
      大鹿 健一
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Gakushuin University
  •  数論トポロジーと種々のモノドロミー不変量の新たな展開

    • Principal Investigator
      中村 博昭
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      Osaka University
  •  Topological Study on Riemann Surfaces through Higher CocyclesPrincipal Investigator

    • Principal Investigator
      河澄 響矢
    • Project Period (FY)
      2019 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      The University of Tokyo
  •  Geometry of the braid groups and mapping class groups and their growth

    • Principal Investigator
      藤井 道彦
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      University of the Ryukyus
  •  Various evolutions of Teichmuller theory

    • Principal Investigator
      大鹿 健一
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      Gakushuin University
      Osaka University
  •  Topological studies on Riemann surfaces through Lie bialgebrasPrincipal Investigator

    • Principal Investigator
      Kawazumi Nariya
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Topology of discrete groups and growth series

    • Principal Investigator
      Fujii Michihiko
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      University of the Ryukyus
      Kyoto University
  •  Studies on arithmetic invariants arising from mutual interactions between Galois groups and fundamental groupoids

    • Principal Investigator
      Nakamura Hiroaki
    • Project Period (FY)
      2014 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  New developments in infinite groups and geometry

    • Principal Investigator
      Tsuboi Takashi
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Topological study of Riemann surfaces through infinite-dimensional Lie algebrasPrincipal Investigator

    • Principal Investigator
      Kawazumi Nariya
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Geometric group theory and metric embedding

    • Principal Investigator
      Fujiwara Koji
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
      Tohoku University
  •  Deformation spaces of discrete groups and growth functions

    • Principal Investigator
      FUJII MICHIHIKO
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Deepening three-manifold theory

    • Principal Investigator
      KOJIMA Sadayoshi
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Global geometric studies on Kleinian groups and Teichmuller spaces

    • Principal Investigator
      Ohshika Ken'ichi
    • Project Period (FY)
      2010 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Localization theory of Atiyah classes and its applications

    • Principal Investigator
      SUWA Tatsuo
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Groups of diffeomorphisms of manifolds

    • Principal Investigator
      TSUBOI Takashi
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  4-MANIFOLDS AND RIEMANN SURFACES

    • Principal Investigator
      MATSUMOTO Yukio
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Gakushuin University
  •  Deformation spaces of discrete groups and hyperbolic structures

    • Principal Investigator
      FUJII Michihiko
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Geometry of Groups and Moduli Spaces (2)

    • Principal Investigator
      MORITA Shigeyuki
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Overall study of topology

    • Principal Investigator
      MASUDA Mikiya
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
  •  gauge theory and homotopy theory

    • Principal Investigator
      FURUTA Mikio
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Topological Studies around Riemann SurfacesPrincipal Investigator

    • Principal Investigator
      KAWAZUMI Nariya
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Research on the deformation space of hyperbolic structures on manifolds

    • Principal Investigator
      FUJI Michihiko
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Maritime Cross-Cultural Exchange in East Asia and the Formation of Japanese Traditional Culture

    • Principal Investigator
      KOJIMA Tsuyoshi
    • Project Period (FY)
      2005 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Review Section
      Humanities and Social Sciences
    • Research Institution
      The University of Tokyo
  •  Cross-cultural Exchange of Mathematics and Its Development in Early Modern East Asian Maritime RegionPrincipal Investigator

    • Principal Investigator
      KAWAZUMI Nariya
    • Project Period (FY)
      2005 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Review Section
      Humanities and Social Sciences
    • Research Institution
      The University of Tokyo
  •  A classification of hyperbolic 3-manifolds and deformation spaces of hyperbolic structures

    • Principal Investigator
      OHSHIKA Ken'ichi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Studies on the Cohomology of Mapping Class Groups, Coxeter Groups and Artin Groups

    • Principal Investigator
      AKITA Toshiyuki
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Various aspects of infinite groups of transformations acting on manifolds

    • Principal Investigator
      TSUBOI Takashi
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Geometry of Groups and Moduli Spaces

    • Principal Investigator
      MORITA Shigeyuki
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      UNIVERSITY OF TOKYO
  •  Complex analytic approach towards topology studies on the mapping class ganups for surfacesPrincipal Investigator

    • Principal Investigator
      KAWAZUMI Nariya
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Mapping Class Group of Surfaces and Geometry of Moduli Spaces

    • Principal Investigator
      MORITA Shigeyuki
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  シンプレクティック幾何における商空間の幾何学とその応用

    • Principal Investigator
      今野 宏
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Topological Study on the Degeneration Phenomena of Riemann Surfaces

    • Principal Investigator
      MATSUMOTO Yukio
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Research on Characteristic Classes of Singular Varieties

    • Principal Investigator
      SUWA Tatsuo
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  A topological study of the moduli space of Riemann surfacePrincipal Investigator

    • Principal Investigator
      KAWAZUMI Nariya
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  STRUCTURE OF THE MAPPING CLASS GROUP AND GEOMETRY OF THE MODULI SPACE OF RIEMANN SURFACES

    • Principal Investigator
      MORITA Shigeyuki
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Geometry
    • Research Institution
      University of Tokyo
  •  リーマン面のモジュライ空間の位相的研究Principal Investigator

    • Principal Investigator
      河澄 響矢
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  The Index Theorem and Analytic Secondary Invariants in Symplectic Geometry

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
      Hokkaido University
  •  Classical theory and quantization on integrable geodesic flows

    • Principal Investigator
      KIYOHARA Kazuyoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Contact Geometry of Second Order

    • Principal Investigator
      YAMAGUCHI Keizo
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido Univ.
  •  First Order Partial Differential Equation and WEB Geometry

    • Principal Investigator
      NAKAI Isao
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  リーマン面のモジュライ空間の位相の研究Principal Investigator

    • Principal Investigator
      河澄 響矢
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Research on Complex Analytic Geometry and Singularity Theory

    • Principal Investigator
      SUWA Tatsuo
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  リーマン面のモジェライ空間のコホモロジーの無限小的方法による研究Principal Investigator

    • Principal Investigator
      河澄 響矢
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Hokkaido University
  •  リーマン面のモジュライ空間の位相の研究Principal Investigator

    • Principal Investigator
      河澄 響矢
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  4次元ファイバ-空間と曲面の写像類

    • Principal Investigator
      MATSUMOTO Yukio
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  不連続群および保型形式の整数論

    • Principal Investigator
      織田 孝幸
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo

All 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2002 Other

All Journal Article Presentation

  • [Journal Article] Some algebraic aspects of the Turaev cobracket2021

    • Author(s)
      Kawazumi Nariya
    • Journal Title

      Topology and Geometry

      Volume: - Pages: 329-356

    • DOI

      10.4171/irma/33-1/17

    • ISBN
      9783985470013, 9783985475018
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18KK0071
  • [Journal Article] Goldman-Turaev formality implies Kashiwara-Vergne2020

    • Author(s)
      A. Alekseev, N. Kawazumi, Y. Kuno and F. Naef
    • Journal Title

      Quantum Topology

      Volume: to appear

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0071
  • [Journal Article] Goldman-Turaev formality implies Kashiwara-Vergne2020

    • Author(s)
      Alekseev Anton、Kawazumi Nariya、Kuno Yusuke、Naef Florian
    • Journal Title

      Quantum Topology

      Volume: 11 Issue: 4 Pages: 657-689

    • DOI

      10.4171/qt/143

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03308, KAKENHI-PROJECT-18KK0071
  • [Journal Article] The mapping class group orbits in the framings of compact surfaces2018

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Quarterly J. Math.

      Volume: 掲載決定 Issue: 4 Pages: 1287-1302

    • DOI

      10.1093/qmath/hay024

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Journal Article] Self-intersections of curves on a surface and Bernoulli numbers2018

    • Author(s)
      Shinji Fukuhara, Nariya Kawazumi and Yusuke Kuno
    • Journal Title

      Osaka J. Math.

      Volume: 55

    • NAID

      120006542322

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Journal Article] The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem2018

    • Author(s)
      Anton Alekseev, Nariya Kawazumi, Yusuke Kuno and Florian Naef
    • Journal Title

      Advances in Mathematics

      Volume: 326 Pages: 1-53

    • DOI

      10.1016/j.aim.2017.12.005

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03617, KAKENHI-PROJECT-26800044, KAKENHI-PROJECT-18KK0071
  • [Journal Article] A tensorial description of the Turaev cobracket on genus 0 compact surfaces2017

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B66

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Journal Article] Higher genus Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra2017

    • Author(s)
      A. Alekseev, N.Kawazumi, Y. Kuno and F. Naef
    • Journal Title

      C. R. Acad. Sci. Paris, Ser. I

      Volume: 355 Issue: 2 Pages: 123-127

    • DOI

      10.1016/j.crma.2016.12.007

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224002, KAKENHI-PROJECT-26800044, KAKENHI-PROJECT-15H03617
  • [Journal Article] The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms2015

    • Author(s)
      Nariya Kawazumi and Yusuke Kuno
    • Journal Title

      Handbook of Teichmueller theory

      Volume: 5

    • Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Journal Article] Intersections of curves on surfaces and their applications to mapping class groups2015

    • Author(s)
      N. Kawazumi and Y. Kuno
    • Journal Title

      Ann. Inst. Fourier

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Journal Article] Intersection of curves on surfaces and their applications to mapping class groups2015

    • Author(s)
      Nariya Kawazumi and Yusuke Kuno
    • Journal Title

      Annales de l'institut Fourier

      Volume: 65 Issue: 6 Pages: 2711-2762

    • DOI

      10.5802/aif.3001

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26800044, KAKENHI-PROJECT-15H03617, KAKENHI-PROJECT-24224002
  • [Journal Article] Generators of the homological Goldman Lie algebra2014

    • Author(s)
      N. Kawazumi, Y. Kuno and K. Toda
    • Journal Title

      Osaka J. Math.

      Volume: 51 Pages: 665-671

    • NAID

      120005478476

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Journal Article] The logarithms of Dehn twists2014

    • Author(s)
      N. Kawazumi and Y. Kuno
    • Journal Title

      Quantum Topology

      Volume: 5 Issue: 3 Pages: 347-423

    • DOI

      10.4171/qt/54

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244004, KAKENHI-PROJECT-24340010, KAKENHI-PROJECT-26800044
  • [Journal Article] Surface topology and involutive bimodules2014

    • Author(s)
      N. Kawazumi
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 48 Pages: 1-23

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Journal Article] The logarithms of Dehn twists2014

    • Author(s)
      N. Kawazumi and Y. Kuno
    • Journal Title

      Quantum Topology

      Volume: 5 Pages: 347-423

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Journal Article] Surface topology and involutive bimodules2014

    • Author(s)
      N. Kawazumi
    • Journal Title

      RIMS Kokyuroku Besssatsu

      Volume: B48

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Journal Article] Generators of the homological Goldman Lie algebra2014

    • Author(s)
      N. Kawazumi, Y. Kuno and K. Toda
    • Journal Title

      Osaka J. Math.

      Volume: 51 Pages: 665-671

    • NAID

      120005478476

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Journal Article] Generators of the homological Goldman Lie algebra2014

    • Author(s)
      N. Kawazumi, Y. Kuno and K. Toda
    • Journal Title

      Osaka Journal of Mathematics

      Volume: 51

    • NAID

      120005478476

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Journal Article] The center of the Goldman Lie algebra of a surface of infinite genus2013

    • Author(s)
      Nariya Kawazumi and Yusuke Kuno
    • Journal Title

      Quarterly J. Math.

      Volume: 64 Issue: 4 Pages: 1167-1190

    • DOI

      10.1093/qmath/has017

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224002, KAKENHI-PROJECT-24340010, KAKENHI-PROJECT-24840038
  • [Journal Article] The Lie algebra of rooted planar trees2013

    • Author(s)
      T. Ishida and N, Kawazumi
    • Journal Title

      Hokkaido Mathematical Journal

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Journal Article] The Lie algebra of rooted planar trees2013

    • Author(s)
      Tomohiko Ishida and Nariya Kawazumi
    • Journal Title

      Hokkaido Math. J.

      Volume: 42 Pages: 397-416

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Journal Article] The Lie algebra of rooted planar trees2013

    • Author(s)
      Tomohiko Ishida and Nariya Kawazumi
    • Journal Title

      Hokkaido Math. J.

      Volume: 42 Pages: 397-416

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Journal Article] Generators of the homological Goldman Lie algebra2013

    • Author(s)
      N. Kawazumi, Y, Kuno and K. Toda
    • Journal Title

      Osaka Journal of Mathematics

    • NAID

      120005478476

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Journal Article] The logarithms of Dehn twists2013

    • Author(s)
      N. Kawazumi and Y. Kuno
    • Journal Title

      Quantum Topolog

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Journal Article] Canonical lifts of the Johnson homomorphisms to the Torelli groupoid2009

    • Author(s)
      N. Kawazumi, A. J. Bene and R. C. Penner
    • Journal Title

      Adv. Math.

      Volume: 221 Pages: 627-659

    • Data Source
      KAKENHI-PROJECT-20340014
  • [Journal Article] Canonical 2-forms on the moduli space of Riemann surfaces, Handbook of Teichmueller theory, edited by A.2009

    • Author(s)
      N.Kawazumi
    • Journal Title

      Papadopoulos Vol.II, EMS Publishinf House, Zurich

      Pages: 217-237

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540074
  • [Journal Article] Canonical lifts of the Johnson homomorphisms to the Torelli groupoid2009

    • Author(s)
      A. J. Bene, N. Kawazumi and R. C.Penner
    • Journal Title

      Advances in Mathematics vol.221

      Pages: 627-659

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Canonical 2-forms on the moduli space of Riemann surfaces2009

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Handbook of Teichmueller theory

      Volume: 2 Pages: 217-237

    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Canonical extensions of the Johnson homomorphisms to the Torelli groupoid2009

    • Author(s)
      A.J.Bene, N.Kawazumi, R.C.Pen
    • Journal Title

      Advances in Mathematics 221

      Pages: 627-659

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Canonical lifts of the Johnson homomorphisms to the Torelli groupoid2009

    • Author(s)
      Alex Bene, Nariya Kawazumi, Robert Penner
    • Journal Title

      Adv.Math. 221

      Pages: 627-659

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Canonical 2-forms on the moduli space of Riemann surfaces,"Handbook of Teichmuller theory" ed. by A. Papadopoulos, II2009

    • Author(s)
      N. Kawazumi
    • Journal Title

      EMS Publishing House, Zurich

      Pages: 217-237

    • Data Source
      KAKENHI-PROJECT-20340014
  • [Journal Article] Canonical extensions of the Johnson homomorphisms to the Torelli groupoid2009

    • Author(s)
      Bene, Alex James ; Kawazumi, Nariya ; Penner, R. C
    • Journal Title

      Adv. Math

      Volume: no.2 Pages: 627-659

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Canonical extensions of the Johnson homomorphisms to the Torelli groupoid2009

    • Author(s)
      A. J. Bene, N. Kawazumi, R. C. Penner
    • Journal Title

      Adv.Math. 221

      Pages: 627-659

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Canonical 2-forms on the moduli space of Riemann surfaces2009

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Handbook of Teichmuller theory. 2

      Pages: 217-237

    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Canonical extensions of the Johnson homomorphisms to the Torelli groupoid2009

    • Author(s)
      A.J.Bene, N.Kawazumi, R.C.
    • Journal Title

      Adv.Math.221

      Volume: 221 Pages: 627-659

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Canonical 2-forms on the moduli space of Riemann surfaces2009

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Handbook of Teichmueller theory(edited by A.Papadopoulos, Volume II, EMS Publishing House, Zurich)

      Pages: 217-237

    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] On the stable cohomology algebra of extended mapping class groups for surfaces2008

    • Author(s)
      N. Kawazumi
    • Journal Title

      Advanced Studies in Pure Mathematics vol.52

      Pages: 383-400

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Integral Riemann-Roch for cyclic subgroups of mapping class groups2008

    • Author(s)
      Akita, T. and Kawazumi, N.
    • Journal Title

      Math. Proc. Camb. Philos. Soc. 144

      Pages: 411-421

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Twisted Morita-Mumford classes on braid groups2008

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Geometry & Topology Monographs 13

      Pages: 293-306

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Integra Riemann-Roch formulae for cyclic subgroups of mapping class groups2008

    • Author(s)
      T. Akita and N. Kawazumi
    • Journal Title

      Math. Proc. Cambridge Phil. Soc. 144

      Pages: 411-421

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540056
  • [Journal Article] On the stable cohomology algebra of extended mapping class groups for surfaces2008

    • Author(s)
      N. Kawazumi
    • Journal Title

      Advanced Studies in Pure Math. 52

      Pages: 383-400

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Journal Article] Twisted Morita-Mumford classes on braid groups2008

    • Author(s)
      Kawazumi, Nariya
    • Journal Title

      Groups, homotopy and configuration spaces

      Volume: 13 Pages: 293-306

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] On the stable cohomology algebra of extended mapping class groups for surfaces2008

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Advanced Studies in Pure Mathematics (Groups of Diffeomorphisms) 52

      Pages: 383-400

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups2008

    • Author(s)
      T. Akita and N. Kawazumi
    • Journal Title

      Math. Proc. Camb. Phil. Soc.

      Volume: 144 Pages: 411-421

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Journal Article] On the stable cohomology algebra of extended mapping class groups for surfaces2008

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Advanced Studies in Pure Mathematics 52

      Pages: 383-400

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Journal Article] Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups2008

    • Author(s)
      AKITA, Toshiyuki, KAWAZUMI, Nariya
    • Journal Title

      Math. Proc. Cambridge Phil. Soc. 144

      Pages: 411-421

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204003
  • [Journal Article] Twisted Morita. Mumford classes on braid groups2008

    • Author(s)
      N. Kawazumi
    • Journal Title

      Geometry & Topology Monographs

      Volume: 13 Pages: 293-306

    • Data Source
      KAKENHI-PROJECT-20340014
  • [Journal Article] Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups2008

    • Author(s)
      Akita, Toshiyuki ; Kawazumi, Nariya
    • Journal Title

      Math. Proc. Cambridge Philos. Soc.

      Volume: no.2 Pages: 411-421

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups2008

    • Author(s)
      T. Akita and N. Kawazumi
    • Journal Title

      Math. Proc. Camb. Phil. Soc. vol.144

      Pages: 411-421

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups2008

    • Author(s)
      T. Akita and N. Kawazumi
    • Journal Title

      Math. Proc. Camb. Phil. Soc. 144

      Pages: 411-421

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Journal Article] On the stable cohomology algebra of extended mapping class groups for surfaces2008

    • Author(s)
      N. Kawazumi
    • Journal Title

      Advanced Studies in Pure Math.

      Volume: 52 Pages: 383-400

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Journal Article] Twisted Morita-Mumford classes on braid groups2008

    • Author(s)
      N.Kawazumi
    • Journal Title

      Geometry and Topology Monographs 13

      Pages: 293-306

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540074
  • [Journal Article] Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups2008

    • Author(s)
      Toshiyuki, Akita, Nariya, Kawazumi
    • Journal Title

      Math.Proc.Cambridge Phil.Soc. 144

      Pages: 411-421

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204003
  • [Journal Article] Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups2008

    • Author(s)
      T. Akita and N. Kawazumi
    • Journal Title

      Math. Proc. Cambridge Phil. Soc. 144

      Pages: 411-421

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540056
  • [Journal Article] On the stable cohomology algebra of extended mapping class groups for surfaces2008

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Adv.Stud.Pure Math. 52

      Pages: 383-400

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Twisted Morita-Mumford classes on braid groups2008

    • Author(s)
      N. Kawazumi
    • Journal Title

      Geometry and Topology Monograph series 13

      Pages: 293-306

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Journal Article] Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups2008

    • Author(s)
      Toshiyuki Akita, Nariya Kawazumi
    • Journal Title

      Math.Proc.Camb.Phil.Soc. 144

      Pages: 411-421

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] On the stable cohomology algebra of extended mapping class groups for surfaces2008

    • Author(s)
      Kawazumi, Nariya
    • Journal Title

      Groups of diffeomorphisms

      Volume: 52 Pages: 383-400

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups2008

    • Author(s)
      Toshiyuki Akita and Nariya Kawazumi
    • Journal Title

      Math.Proc.Camb.Phil.Soc 14

      Pages: 411-421

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Twisted Morita-Mumford classes on braid groups2008

    • Author(s)
      N. Kawazumi
    • Journal Title

      Geometry and Topology Monographseries vol.13

      Pages: 293-306

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Twisted Morita-Mumford classes on braid groups2008

    • Author(s)
      N. Kawazumi
    • Journal Title

      Geometry and Topology Monograph series

      Volume: 13 Pages: 293-306

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Journal Article] A higher analogue of the period matrix of a compact Riemann surface2006

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Oberwolfach Reports 3-2

      Pages: 1555-1557

    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Harmonic Magnus Expansion on the Universal Family of Riemann Survaces2006

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Oberwolfach Reports 3-1

      Pages: 770-772

    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Harmonic Magnus Expansion on the Universal Family of Riemann Survaces2006

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Oberwolfach Reports 3・1

      Pages: 770-772

    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] A higher analogue of the period matrix of a compact Riemann surface2006

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Oberwolfach Reports 3・2

      Pages: 1555-1557

    • Data Source
      KAKENHI-PROJECT-18204002
  • [Journal Article] Weierstrass points and Morita-Mumford classes on hyperelliptic mapping class group2002

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Topology and its applications 125

      Pages: 363-383

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540065
  • [Journal Article] Weierstrass points and Marita-Mumford classes, on hyperelliptic mapping class groups2002

    • Author(s)
      Nariya Kawazumi
    • Journal Title

      Topology and its appl. 125

      Pages: 363-383

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540065
  • [Journal Article] The center of the Goldman Lie algebra of a surface of infinite genus

    • Author(s)
      N. Kawazumi and Y. Kuno
    • Journal Title

      Quartery J. of Mathematics

      Volume: (to appear)

    • Data Source
      KAKENHI-PROJECT-20340014
  • [Journal Article] Twisted Morita-Munford classes on braid groups

    • Author(s)
      Nariya KAWAZUMI
    • Journal Title

      Geometry and Topology Monographs (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204005
  • [Journal Article] Twisted Morita-Mumford classes on braid groups

    • Author(s)
      KAWAZUMI, Nariya
    • Journal Title

      Geometry and Topology Honographs (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16204005
  • [Presentation] 写像類群のリー代数を求めて2021

    • Author(s)
      河澄響矢,久野雄介
    • Organizer
      日本数学会秋季総合分科会トポロジー分科会幾何学分科会特別講演
    • Invited
    • Data Source
      KAKENHI-PROJECT-18KK0071
  • [Presentation] A double version of Turaev’s gate derivatives2020

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Teichmuller Theory: Classical, Higher, Super and Quantum
    • Data Source
      KAKENHI-PROJECT-18KK0071
  • [Presentation] The mapping class group orbits in the framings of compact surfaces2020

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Geometry and Topology seminar, University of Luxembourg
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Presentation] Formality of the Goldman-Turaev Lie bialgebra and its applications (3)(4)2020

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Interactions entre algebre et geometrie
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Presentation] ゴールドマン括弧積と写像類群2020

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「タイヒミュラー空間と双曲幾何学」
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Presentation] Formality of the Goldman bracket2019

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminar "Homotopy Algebra and Geometry", University of Luxembourg
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Presentation] Gate double derivatives2019

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Expansions, Lie algebras and Invariants
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Presentation] The Turaev cobracket and gate double derivatives2019

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Conference: New developments in quantum topology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Presentation] Gate double derivatives2019

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Geometry and Topology seminar, University of Luxembourg
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Presentation] Gate double derivatives2019

    • Author(s)
      Nariya Kawazumi
    • Organizer
      `Expansions, Lie algebras and Invariants’, CRM, Montreal
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0071
  • [Presentation] A double version of Turaev's gate derivatives2019

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminaire Algebre et topologie, University of Strasbourg
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Presentation] グラフと曲線2019

    • Author(s)
      河澄響矢
    • Organizer
      高校生のための現代数学講座「いろいろな幾何学」
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Presentation] The Turaev cobracket and gate double derivatives2019

    • Author(s)
      Nariya Kawazumi
    • Organizer
      New developments in quantum topology, Department of Mathematics, University of California, Berkeley
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0071
  • [Presentation] Johnson homomorphisms and the Morita-Penner cocycle --- a survey2018

    • Author(s)
      Nariya Kawazumi
    • Organizer
      102e rencontre entre mathematiciens et physiciens theoriciens, Strasbourg
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0071
  • [Presentation] Dehn twists and the Goldman-Turaev Lie bialgebra2018

    • Author(s)
      Nariya Kawazumi
    • Organizer
      2018 Seoul-Tokyo Conference `Geometry and Topology’ KIAS, Seoul
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18KK0071
  • [Presentation] The Kashiwara-Vergne problem and the Goldman-Turaev Lie bialgebra in genus zero2017

    • Author(s)
      N. Kawazumi
    • Organizer
      Low dimensional topology and number theory IX
    • Place of Presentation
      九州大学 AiRIMaQ
    • Year and Date
      2017-03-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] The Kashiwara-Vergne problem and the Goldman-Turaev Lie bialgebra in genus zero2017

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Low dimensional topology and number theory IX
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Presentation] The harmonic Magnus expansion on a compact Riemann surface with non-zero tangent vectors2017

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminaire `Groupes de Lie et espaces des modules’
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Presentation] Differential forms and functions on the moduli space of Riemann surfaces2017

    • Author(s)
      N. Kawazumi
    • Organizer
      Seminaire Algebre et topologie,
    • Place of Presentation
      IRMA, Universite de Strasbourg.
    • Year and Date
      2017-01-30
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] 写像類群、Goldman-Turaev Lie 双代数、柏原 Vergne 問題2017

    • Author(s)
      河澄響矢
    • Organizer
      日本数学会秋季総合分科会トポロジー分科会特別講演
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Presentation] Some tensor field on the Teichmuller space2016

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminaire `Groupes de Lie et espaces des modules’
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Presentation] Some tensor field on the Teichmuller space2016

    • Author(s)
      N. Kawazumi
    • Organizer
      OIST workshop: MCM2016
    • Place of Presentation
      沖縄科学技術大学院大学
    • Year and Date
      2016-10-25
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] The Kashiwara- Vergne problem and the Goldman-Turaev Lie bialgebra, I2016

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Workshop on Grothendieck-Teichmueller Theories
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Presentation] Mapping class groups and the Johnson homomorphisms2016

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Berkeley-Tokyo Winter School "Geometry, Topology and Representation Theory"
    • Place of Presentation
      Department of Mathematics, University of California, Berkeley.(アメリカ合衆国)
    • Year and Date
      2016-02-08
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Presentation] Some tensor field on the Teichmuller space2016

    • Author(s)
      N. Kawazumi
    • Organizer
      Seminaire `Groupes de Lie et espaces des modules’
    • Place of Presentation
      Section de mathematiques, Universite de Geneve
    • Year and Date
      2016-11-01
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] Some tensor field on the Teichmuller space2016

    • Author(s)
      Nariya Kawazumi
    • Organizer
      OIST workshop: MCM2016
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Presentation] Differential forms and functions on the moduli space of Riemann surfaces2016

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminaire Algebre et topologie
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Presentation] The Kashiwara-Vergne problem and the Goldman-Turaev Lie bialgebra in genus zero2016

    • Author(s)
      N. Kawazumi
    • Organizer
      Pre-conference MCM2016
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2016-10-20
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] The Kashiwara-Vergne problem and the Goldman-Turaev Lie bialgebra in genus zero2016

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Pre-conference MCM2016
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Presentation] The Kashiwara- Vergne problem and the Goldman-Turaev Lie bialgebra, I2016

    • Author(s)
      N. Kawazumi
    • Organizer
      Workshop on Grothendieck-Teichmueller Theories
    • Place of Presentation
      Chern Institute of Mathematics, Nankai University. (中国)
    • Year and Date
      2016-07-28
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] A flat connection on the Teichmuller space and the Goldman-Turaev Lie bialgebra2015

    • Author(s)
      河澄響矢
    • Organizer
      Mini Symposium on Moduli Space, Conformal Field Theory and Matrix Models
    • Place of Presentation
      沖縄科学技術大学院大学(沖縄県)
    • Year and Date
      2015-03-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Presentation] Algebraic aspects of the Goldman-Turaev Lie bialgebra2015

    • Author(s)
      Nariya Kawazumi
    • Organizer
      workshop "GRT, MZVs and associators"
    • Place of Presentation
      Hotel Les Sources, Les Diablerets. (スイス)
    • Year and Date
      2015-08-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] Turaev cobracket について2015

    • Author(s)
      河澄響矢
    • Organizer
      大阪大学低次元トポロジーセミナー
    • Place of Presentation
      大阪大学大学院理学研究科数学専攻
    • Year and Date
      2015-01-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] 曲面上の曲線の交叉のテンソル表示について2015

    • Author(s)
      河澄響矢
    • Organizer
      第203回数理情報科学談話会
    • Place of Presentation
      鹿児島大学理学部数理情報科学科
    • Year and Date
      2015-07-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] A tensorial description of the Turaev cobracket on genus 0 compact surfaces,2015

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「離散群と双曲空間の幾何と解析」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-06-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] 種数0コンパクト曲面上の Turaev 余括弧積のテンソル表示2015

    • Author(s)
      河澄響矢
    • Organizer
      日本数学会年会トポロジー分科会
    • Place of Presentation
      明治大学(東京都)
    • Year and Date
      2015-03-23
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Presentation] A flat connection on the Teichmuller space and the Goldman-Turaev Lie bialgebra2015

    • Author(s)
      N. Kawazumi
    • Organizer
      OIST Mini symposium: Moduli Space, Conformal Field Theory and Matrix Models
    • Place of Presentation
      沖縄科学技術大学院大学
    • Year and Date
      2015-03-26
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] A tensorial description of the Turaev cobracket on genus 0 compact surfaces2015

    • Author(s)
      N. Kawazumi
    • Organizer
      French-Japanese workshop on Teichmueller spaces and surface mapping class groups,
    • Place of Presentation
      IRMA, University of Strasbourg. (フランス)
    • Year and Date
      2015-06-04
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] 曲面上の曲線の交叉のテンソル表示について2015

    • Author(s)
      河澄響矢
    • Organizer
      第203回数理情報科学談話会
    • Place of Presentation
      鹿児島大学理学部数理情報科学科
    • Year and Date
      2015-07-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] Turaev bracket について2015

    • Author(s)
      河澄響矢
    • Organizer
      大阪大学低次元トポロジーセミナー
    • Place of Presentation
      大阪大学(大阪府)
    • Year and Date
      2015-01-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Presentation] Algebraic aspects of the Goldman-Turaev Lie bialgebra2015

    • Author(s)
      N. Kawazumi
    • Organizer
      workshop "GRT, MZVs and associators"
    • Place of Presentation
      Hôtel Les Sources, Les Diablerets. (スイス)
    • Year and Date
      2015-08-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] A tensorial description of the Turaev cobracket on genus 0 compact surfaces2015

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「離散群と双曲空間の幾何と解析」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-06-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Presentation] A tensorial description of the Turaev cobracket on genus 0 compact surfaces,2015

    • Author(s)
      Nariya Kawazumi
    • Organizer
      French-Japanese workshop on Teichmueller spaces and surface mapping class groups
    • Place of Presentation
      IRMA, University of Strasbourg. (フランス)
    • Year and Date
      2015-06-04
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] 種数 0 コンパクト曲面上の Turaev 余括弧積のテンソル表示2015

    • Author(s)
      河澄響矢
    • Organizer
      日本数学会年会トポロジー分科会一般講演
    • Place of Presentation
      明治大学駿河台キャンパス
    • Year and Date
      2015-03-23
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] A tensorial description of the Turaev cobracket on genus 0 compact surfaces,2015

    • Author(s)
      Nariya Kawazumi
    • Organizer
      French-Japanese workshop on Teichmueller spaces and surface mapping class groups
    • Place of Presentation
      IRMA, University of Strasbourg. (フランス)
    • Year and Date
      2015-06-04
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Presentation] Algebraic aspects of the Goldman-Turaev Lie bialgebra2015

    • Author(s)
      Nariya Kawazumi
    • Organizer
      workshop "GRT, MZVs and associators"
    • Place of Presentation
      Hôtel Les Sources, Les Diablerets. (スイス)
    • Year and Date
      2015-08-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Presentation] 曲面上の曲線の交叉のテンソル表示について2015

    • Author(s)
      河澄響矢
    • Organizer
      第203回数理情報科学談話会
    • Place of Presentation
      鹿児島大学理学部数理情報科学科
    • Year and Date
      2015-07-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03617
  • [Presentation] Turaev 余括弧積,榎本-佐藤 traces そして柏原 Vergne 問題における発散 cocycle2014

    • Author(s)
      河澄響矢
    • Organizer
      日本数学会秋季総合分科会トポロジー分科会
    • Place of Presentation
      広島大学(広島県)
    • Year and Date
      2014-09-26
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Presentation] The Goldman-Turaev Lie bialgebra and the mapping class group2014

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「第 9 回代数・解析・幾何学セミナー」
    • Place of Presentation
      鹿児島大学理学部
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] 曲面上の曲線たちのつくる代数系について2014

    • Author(s)
      河澄響矢
    • Organizer
      岐阜数理科学セミナー
    • Place of Presentation
      岐阜大学(岐阜県)
    • Year and Date
      2014-08-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Presentation] 曲面上の曲線たちのつくる代数系について2014

    • Author(s)
      河澄響矢
    • Organizer
      岐阜数理科学セミナー
    • Place of Presentation
      岐阜大学教育学部
    • Year and Date
      2014-08-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] Goldman-Turaev Lie 双代数のテンソル表示について2014

    • Author(s)
      河澄響矢
    • Organizer
      東工大複素解析セミナー
    • Place of Presentation
      東京工業大学(東京都)
    • Year and Date
      2014-11-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Presentation] Goldman-Turaev Lie 双代数のテンソル表示について2014

    • Author(s)
      河澄響矢
    • Organizer
      多様体のトポロジーの展望
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2014-11-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] Turaev 余括弧積, 榎本-佐藤 traces そして柏原 Vergne 問題における発散 cocycle2014

    • Author(s)
      河澄響矢
    • Organizer
      日本数学会トポロジー分科会
    • Place of Presentation
      広島大学.
    • Year and Date
      2014-09-26
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] The Turaev cobracket, the Enomoto-Satoh traces and the divergence cocycle in the Kashiwara-Vergne problem2014

    • Author(s)
      N. Kawazumi
    • Organizer
      Mapping class groups of surfaces and automorphism groups of free groups
    • Place of Presentation
      IRMA, University of Strasbourg
    • Year and Date
      2014-09-10
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] The Goldman-Turaev Lie bialgebra and the mapping class group2014

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「離散群と双曲空間の複素解析とトポロジー」
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] The Turaev cobracket, the Enomoto-Satoh traces and the divergence cocycle in the Kashiwara-Vergne problem2014

    • Author(s)
      N. Kawazumi
    • Organizer
      Special day「Mapping class groups of surfaces and automorphism groups of free groups」
    • Place of Presentation
      IRMA, University of Strasbourg. (フランス)
    • Year and Date
      2014-09-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] Goldman-Turaev Lie 双代数のテンソル表示について2014

    • Author(s)
      河澄響矢
    • Organizer
      東工大複素解析セミナー
    • Place of Presentation
      東京工業大学大学院理工学研究科数学専攻
    • Year and Date
      2014-11-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] Turaev cobracket について2014

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「葉層構造と微分同相群 2014」
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Year and Date
      2014-10-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] Turaev 余括弧積, 榎本-佐藤 traces そして柏原 Vergne 問題における発散 cocycle2014

    • Author(s)
      河澄響矢
    • Organizer
      日本数学会秋期総合分科会トポロジー分科会一般講演
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-26
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] 曲面上の曲線たちのつくる代数系について2014

    • Author(s)
      河澄響矢
    • Organizer
      無限群と幾何学の新展開のアウトリーチについての研究会
    • Place of Presentation
      東京大学玉原国際セミナーハウス(群馬県)
    • Year and Date
      2014-06-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Presentation] 曲面上の曲線たちのつくる代数系について2014

    • Author(s)
      河澄響矢
    • Organizer
      無限群と幾何学の新展開のアウトリーチについての研究会
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Year and Date
      2014-06-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] The Turaev cobracket, the Enbomoto-Satoh traces and the divergence coccyx in the Kashiwara-Vergne problem2014

    • Author(s)
      N. Kawazumi
    • Organizer
      Conference on Mapping Class Groups of Surfaces and Automorphism Groups of Free Groups
    • Place of Presentation
      University of Strasbourg, France
    • Year and Date
      2014-09-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Presentation] Turaev cobracket について2014

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「葉層構造と微分同相群 2014」
    • Place of Presentation
      東京大学玉原国際セミナーハウス(群馬県)
    • Year and Date
      2014-10-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Presentation] 無限小 Dehn-Nielsen 定理と最大 Torelli 群の埋込み2013

    • Author(s)
      河澄響矢
    • Organizer
      日本数学会秋季分科会一般講演
    • Place of Presentation
      愛媛大学
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] The Goldman-Turaev Lie bialgebra and the largest Torelli group2013

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Advances in Teichmueller Theory
    • Place of Presentation
      Erwin Schroedingier Institute, Wien. (オーストリア)(招待講演)
    • Year and Date
      2013-02-05
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] The Goldman-Turaev Lie bialgebra and the mapping class group2013

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「群と幾何学の展望」
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] The Goldman-Turaev Lie bialgebra and the mapping class group2013

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Caltech Geometry and Topology Seminar
    • Place of Presentation
      California Institute of Technology, Los Angels.(米国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] An infinitesimal version of the Dehn-Nielsen theorem2013

    • Author(s)
      Nariya Kawazumi
    • Organizer
      研究集会「Teichmuller theory: quantization and relations with physics」
    • Place of Presentation
      Erwin Schr\"odingier Institute, Wien.(オーストリア)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] Mapping class groups and Goldman-Turaev Lie bialgebra2012

    • Author(s)
      河澄 響矢
    • Organizer
      International Conference "Group Actions and Applications in Geometry, Topology and Analysis"
    • Place of Presentation
      Kunming, China
    • Year and Date
      2012-07-26
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] Mapping class groups and the Goldman-Turaev Lie bialgebra2012

    • Author(s)
      Nariya Kawazumi
    • Organizer
      The Conference on Group Actions and Applications in Geometry, Topology and Analysis
    • Place of Presentation
      昆明理工大学,昆明.(中国)(招待講演)
    • Year and Date
      2012-07-26
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] The completed Goldman-Turaev Lie bialgebra and mapping class groups2012

    • Author(s)
      Nariya Kawazumi
    • Organizer
      CNRS/JSPS joint seminar r Aspects of representation theory in low- dimensional topology and 3-dimensional invariants
    • Place of Presentation
      Carry-le-Rouet. (フランス)(招待講演)
    • Year and Date
      2012-11-06
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] The completed Goldman-Turaev Lie bialgebra and mapping class groups2012

    • Author(s)
      Nariya Kawazumi
    • Organizer
      葉層構造と微分同相群2012
    • Place of Presentation
      東京大学玉原国際セミナーハウス(群馬県)(招待講演)
    • Year and Date
      2012-10-29
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] Johnson-Morita theory and the Goldman-Turaev Lie bialgebra, I, II, III2012

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Mapping class groups and quantum topology
    • Place of Presentation
      IRMA, University of Strasbourg. (フランス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] Johnson-Morita theory and the Goldman-Turaev Lie bialgebra, I, II, III,2012

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Mapping class groups and quantum topology
    • Place of Presentation
      IRMA, Strasbourg 大学.(フランス)(招待講演)
    • Data Source
      KAKENHI-PROJECT-24340010
  • [Presentation] A geometric approach to the higher Johnson homomorphisms2011

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「離散群と双曲空間の解析と幾何」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-12-13
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Presentation] On the Turaev cobracket on the Lie algebra of symplectic derivations2011

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminar at QGM
    • Place of Presentation
      University of Aarhus
    • Year and Date
      2011-01-26
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Presentation] On the Turaev cobracket on the Lie algebra of symplectic derivations2011

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminar at QGM
    • Place of Presentation
      University of Aarhus, Aarhus, Denmark
    • Year and Date
      2011-01-26
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Presentation] A geometric approach to the higher Johnson homomorphisms2011

    • Author(s)
      河澄 響矢
    • Organizer
      研究集会「離散群と双曲空間の解析と幾何」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-12-13
    • Data Source
      KAKENHI-PROJECT-23540085
  • [Presentation] The logarithms of Dehn twists2011

    • Author(s)
      河澄響矢
    • Organizer
      Branched Coverings, Degenerations, and Related Topics 2011
    • Place of Presentation
      首都大学東京 南大沢キャンパス
    • Year and Date
      2011-03-10
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] On the Turaev cobracket on the Lie algebra of symplectic derivations2011

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminar at QGM (Center for Quantum Geometry of Moduli Spaces)
    • Place of Presentation
      University of Aarhus(デンマーク)
    • Year and Date
      2011-01-26
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] A geometric approach to the higher Johnson homomorphisms2011

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「離散群と双曲空間の解析と幾何」
    • Place of Presentation
      京都大学数理解析研究所(招待講演)
    • Year and Date
      2011-12-13
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Presentation] The logarithms of Dehn twists2011

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「Branched Coverings, Degenerations, and Related Topics-2011」
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach(ドイツ)
    • Year and Date
      2011-03-10
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] On the Turaev cobracket on the Lie algebra of symplectic derivations2011

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminar at QGM (Center for Quantum Geometry of Moduli Spaces)
    • Place of Presentation
      University of Aarhus (デンマーク)
    • Year and Date
      2011-01-26
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] The logarithms of Dehn twists2010

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Workshop 'Teichmueller Theory'
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach.
    • Year and Date
      2010-12-03
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Presentation] The Goldman Lie algebra and Kontsevich's associative symplectic geometry2010

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminar at QGM
    • Place of Presentation
      University of Aarhus
    • Year and Date
      2010-09-28
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Presentation] The logarithms of Dehn twists2010

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Workshop 'Teichmueller Theory,'
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach.(ドイツ)
    • Year and Date
      2010-12-13
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] The logarithms of Dehn twists2010

    • Author(s)
      久野雄介、河澄響矢
    • Organizer
      日本数学会秋季分科会一般講演
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-22
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] The logarithms of Dehn twists2010

    • Author(s)
      久野雄介、河澄響矢
    • Organizer
      日本数学会秋季分科会
    • Place of Presentation
      名古屋大学(一般講演)
    • Year and Date
      2010-09-22
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] The Chas-Sullivan conjecture for a surface of infinite genus2010

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「トポロジーの現在と未来」
    • Place of Presentation
      文部科学省共済組合箱根宿泊所
    • Year and Date
      2010-12-21
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] The logarithms of Dehn twists2010

    • Author(s)
      河澄響矢
    • Organizer
      大阪大学数学教室談話会
    • Place of Presentation
      大阪大学大学院理学研究科
    • Year and Date
      2010-12-13
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] The logarithms of Dehn twists2010

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Workshop 'Teichmueller Theory'
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach,ドイツ
    • Year and Date
      2010-12-03
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Presentation] The Goldman Lie algebra and Kontsevich's associative symplectic geometry2010

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminar at QGM
    • Place of Presentation
      University of Aarhus, Aarhus, Denmark
    • Year and Date
      2010-09-28
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Presentation] The Goldman Lie algebra and Kontsevich's associative symplectic geometry2010

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminar at QGM (Center for Quantum Geometry of Moduli Spaces)
    • Place of Presentation
      University of Aarhus(デンマーク)
    • Year and Date
      2010-09-28
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] The logarithms of Dehn twists2010

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Workshop 'Teichmueller Theory'
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach(ドイツ)
    • Year and Date
      2010-12-03
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] The logarithms of Dehn twists2010

    • Author(s)
      河澄響矢
    • Organizer
      大阪大学大学院理学研究科数学教室談話会
    • Place of Presentation
      大阪大学大学院理学研究科数学専攻
    • Year and Date
      2010-12-13
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] The Goldman Lie algebra and Kontsevich's associative symplectic geometry2010

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminar at QGM (Center for Quantum Geometry of Moduli Spaces)
    • Place of Presentation
      University of Aarhus (デンマーク)
    • Year and Date
      2010-09-28
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] The Chas-Sullivan conjecture for a surface of infinite genus2010

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「トポロジーの現在と未来」
    • Place of Presentation
      文部科学省共済組合箱根宿泊所
    • Year and Date
      2010-12-21
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Presentation] The logarithms of Dehn twists2010

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Workshop 'Teichmueller Theory'
    • Place of Presentation
      MathematischesForschungsinstitut Oberwolfach
    • Year and Date
      2010-12-03
    • Data Source
      KAKENHI-PROJECT-20244003
  • [Presentation] 実および複素一次元のゲルファントフクスコホモロジー2007

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「複素微分方程式の定性的理論と関連する幾何」
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2007-06-29
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] Johnson's homomorphisms and the Arakelov-Green function2007

    • Author(s)
      河澄響矢
    • Organizer
      研究集会「離散群と双曲空間の解析学とトポロジー」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-12-12
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] Johnson's homomorphisms and the Arakelov-Green function2007

    • Author(s)
      河澄 響矢
    • Organizer
      離散群と双曲空間の解析学とトポロジー
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-12-12
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] A higher analogue of the period matrix of a compact Riemann surface2006

    • Author(s)
      河澄響矢
    • Organizer
      Topology Seminar, CTQM
    • Place of Presentation
      University of Aarhus
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] A higher analogue of the period matrix of a compact Riemann surface2006

    • Author(s)
      河澄響矢
    • Organizer
      Workshop 'Groups of Diffeomorphisms 2006,'
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2006-09-11
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] A higher analogue of the period matrix of a compact Riemann surface2006

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Workshop 'Teichmuller Space (Classical and Quantum),'
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach.(ドイツ)
    • Year and Date
      2006-05-30
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] A higher analogue of the period matrix of a compact Riemann surface, Workshop2006

    • Author(s)
      河澄響矢
    • Organizer
      Groups of Diffeomorphisms2006
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] Harmonic Magnus Expansion on the Universal Family of Riemann Surfaces2006

    • Author(s)
      Nariya KAWAZUMI
    • Organizer
      Groups of Diffeomorphisms 2006
    • Place of Presentation
      The University of Tokyo
    • Year and Date
      2006-09-11
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204004
  • [Presentation] A higher analogue of the period matrix of a compact Riemann surface2006

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Topology Seminar, CTQM
    • Place of Presentation
      University of Aarhus(デンマーク)
    • Year and Date
      2006-11-07
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] 第一森田マンフォード類を表すいろいろな微分形式について2006

    • Author(s)
      河澄響矢
    • Organizer
      第3回トポロジー・代数幾何蔵王セミナー
    • Place of Presentation
      蔵王ハイツ
    • Year and Date
      2006-07-27
    • Data Source
      KAKENHI-PROJECT-18204002
  • [Presentation] The Goldman-Turaev Lie bialgebra and the mapping class group

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Caltech Geometry and Topology Seminar
    • Place of Presentation
      California Institute of Technology, Los Angels.(米国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] 無限小 Dehn-Nielsen 定理と最大 Torelli 群の埋込み

    • Author(s)
      河澄響矢
    • Organizer
      日本数学会秋季分科会一般講演
    • Place of Presentation
      愛媛大学
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] The Goldman-Turaev Lie bialgebra and the mapping class group

    • Author(s)
      河澄響矢
    • Organizer
      第 9 回代数・解析・幾何学セミナー
    • Place of Presentation
      鹿児島大学理学部
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] The Goldman-Turaev Lie bialgebra and the mapping class group

    • Author(s)
      河澄響矢
    • Organizer
      離散群と双曲空間の複素解析とトポロジー
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] The completed Goldman-Turaev Lie bialgebra and mapping class groups

    • Author(s)
      Nariya Kawazumi
    • Organizer
      葉層構造と微分同相群 2012
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] The completed Goldman-Turaev Lie bialgebra and mapping class groups

    • Author(s)
      Nariya Kawazumi
    • Organizer
      CNRS/JSPS joint seminar「Aspects of representation theory in low-dimensional topology and 3-dimensional invariants」
    • Place of Presentation
      Carry-le-Rouet. (フランス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] The Goldman-Turaev Lie bialgebra and the mapping class group

    • Author(s)
      河澄響矢
    • Organizer
      群と幾何学の展望
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] The Goldman-Turaev Lie bialgebra and the largest Torelli group

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Advances in Teichmulcer Theory
    • Place of Presentation
      Erwin Schrodingier Institute, Wien.(オーストリア)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] Mapping class groups and the Goldman-Turaev Lie bialgebra

    • Author(s)
      Nariya Kawazumi
    • Organizer
      The Conference on Group Actions and Applications in Geometry, Topology and Analysis
    • Place of Presentation
      Kunming University of Science and Technology
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • [Presentation] An infinitesimal version of the Dehn-Nielsen theorem

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Teichmuller theory: quantization and relations with physics
    • Place of Presentation
      Erwin Schr\"odingier Institute, Wien.(オーストリア)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24224002
  • 1.  MORITA Shigeyuki (70011674)
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  • 2.  TSUBOI Takashi (40114566)
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  • 3.  OHSHIKA Ken'ichi (70183225)
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  • 4.  MATSUMOTO Yukio (20011637)
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  • 5.  FUJIWARA Koji (60229078)
    # of Collaborated Projects: 7 results
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  • 6.  UE Masaaki (80134443)
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  • 7.  MORIYOSHI Hitoshi (00239708)
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  • 8.  FURUTA Mikio (50181459)
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  • 9.  IZUMIYA Shuichi (80127422)
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  • 10.  AKITA Toshiyuki (30279252)
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  • 11.  MINAKAWA Hiroyuki (30241300)
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  • 12.  ISHIKAWA Goo (50176161)
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  • 13.  FUJII Michihiko (60254231)
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  • 14.  ENDO Hisaaki (20323777)
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  • 15.  HAYASHI Shuhei (20247208)
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  • 16.  SATOH Takao (70533256)
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  • 17.  NAKAI Isao (90207704)
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  • 18.  SUWA Tatsuo (40109418)
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  • 19.  KOJIMA Sadayoshi (90117705)
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  • 20.  Miyachi Hideki (40385480)
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  • 21.  ASUKE Taro (30294515)
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  • 23.  NAKAMURA Hiroaki (60217883)
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  • 24.  Soma Teruhiko (50154688)
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  • 25.  SAKUMA Makoto (30178602)
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  • 26.  HASHIMOTO Yoshitake (20271182)
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  • 27.  SHIBUKAWA Youichi (90241299)
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  • 28.  TADOKORO Yuuki (10435414)
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  • 29.  MURAKAMI Jun (90157751)
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  • 30.  HIROSE Susumu (10264144)
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  • 31.  SAKASAI Takuya (60451902)
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  • 32.  MATSUMOTO Shigenori (80060143)
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  • 33.  KAMETANI Yukio (70253581)
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  • 34.  NAKAYAMA Hiromichi (30227970)
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  • 36.  OKA Mutsuo (40011697)
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  • 37.  KUNO Yusuke (80632760)
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  • 38.  YAMAGUCHI Keizo (00113639)
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  • 39.  KASAHARA Yasushi (80299370)
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  • 40.  YOSHIKAWA Ken-ichi (20242810)
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  • 41.  FUKAYA Kenji (30165261)
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  • 42.  KOHNO Toshitake (80144111)
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  • 43.  MATSUMOTO Makoto (70231602)
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  • 44.  MITSUMATSU Yoshihiko (70190725)
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  • 45.  KITANO Teruaki (90272658)
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  • 46.  MORIFUJI Takayuki (90334466)
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  • 47.  MINAMI Norihiko (80166090)
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  • 48.  KANAI Masahiko (70183035)
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  • 49.  ASAOKA Masayuki (10314832)
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  • 50.  NODA Takeo (90431618)
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  • 51.  ASHIKAGA Tadashi (90125203)
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  • 52.  KAMADA Seiichi (60254380)
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  • 53.  OHMOTO Toru (20264400)
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  • 54.  YOKURA Shoji (60182680)
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  • 55.  KIN Eiko (80378554)
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  • 56.  SATO Masatoshi (10632010)
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  • 57.  NAKAMURA Iku (50022687)
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  • 58.  KIYOHARA Kazuyoshi (80153245)
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  • 59.  OHBA Kiyoshi (80242337)
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  • 60.  角皆 宏 (20267412)
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  • 61.  古庄 英和 (60377976)
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  • 64.  YOKOTE Yutaka (10240201)
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  • 78.  TAMAKI Dai (10252058)
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  • 79.  KIYONO Kazuhiko (40234398)
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  • 81.  FUJITA Hajime (50512159)
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  • 84.  IWASE Zjunici (70183746)
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  • 138.  NAITO Takahito
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  • 139.  DIETER Kotschick
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  • 140.  ROBERT Penner
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  • 141.  Penner Robert
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  • 142.  Alekseev Anton
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  • 143.  Naef Florian
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