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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) 2025: 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 – 2024: 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 / トゥラエフ余括弧積 / ゴールドマン・トゥラエフ・リー双代数 / コホモロジー / 特性類 / タイヒミュラー空間 … More / ねじれ係数コホモロジー / ループ演算 / 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 / 基本亜群 / 組紐群 / フェンチェル-ニールセン座標 / スピン構造 / 亜群 / ゲート二重導分 / 二重導分 / オペラド / 線型コード図式 / 安定コホモロジー / 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 / 双曲幾何 / 多様体 / リーマン面 / 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 / 双曲構造 / 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 / ケーリー・グラフ / 3次元多様体 / 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 / 曲面バンドル / 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 / Thurston計量 / Finsler距離 / 非対称距離 / 増大度 / ガーサイド標準形 / ザイフェルトファイバー空間 / ケーリーグラフ / 随伴群 / スータブル・スプレッド法 / ガ―サイド標準形 / 基本群 / 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 / 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

    (205 results)
  • Co-Researchers

    (143 People)
  •  Algebraic development of topology 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
      Kawazumi Nariya
    • 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
      Fujii Michihiko
    • Project Period (FY)
      2018 – 2023
    • 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 – 2024
    • 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 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2002 Other

All Journal Article Presentation Book

  • [Book] トポロジーの基礎 上2022

    • Author(s)
      河澄 響矢
    • Total Pages
      336
    • Publisher
      東京大学出版会
    • ISBN
      9784130629256
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Book] トポロジーの基礎 下2022

    • Author(s)
      河澄 響矢
    • Total Pages
      416
    • Publisher
      東京大学出版会
    • ISBN
      9784130629263
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Journal Article] On the wheeled PROP of stable cohomology of Aut(F_n) with bivariant coefficients2023

    • Author(s)
      Nariya Kawazumi and Christine Vespa
    • Journal Title

      Algebraic and Geometric Topolory

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Journal Article] On the wheeled PROP of stable cohomology ofAut(Fn) with bivariant coefficients2023

    • Author(s)
      Kawazumi Nariya、Vespa Christine
    • Journal Title

      Algebraic & Geometric Topology

      Volume: 23 Issue: 7 Pages: 3089-3128

    • DOI

      10.2140/agt.2023.23.3089

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K22391, KAKENHI-PROJECT-23K22396
  • [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, KAKENHI-PROJECT-19H01784
  • [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, KAKENHI-PROJECT-19H01784
  • [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] Fenchel-Nielsen 座標による Weil-Petersson シンプレクティック形式についての Wolpert の公式の位相的証明2024

    • Author(s)
      河澄響矢
    • Organizer
      東北大学幾何セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K22391
  • [Presentation] A topological proof of Wolpert's formula of the Weil-Petersson symplectic form in terms of the Fenchel-Nielsen coordinates2023

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminar on “Algebra, geometry and graph complexes”
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K22391
  • [Presentation] A topological proof of Wolpert's formula of the Weil-Petersson symplectic form in terms of the Fenchel-Nielsen coordinates,2023

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Teichmuller Theory: Classical, Higher, Super and Quantum
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K22391
  • [Presentation] A topological proof of Wolpert's formula of the Weil-Petersson symplectic form in terms of the Fenchel-Nielsen coordinates,2023

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Teichmuller Theory: Classical, Higher, Super and Quantum Oberwolfach
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K22396
  • [Presentation] Stable cohomology of the mapping class groups with some particular twisted coefficients2022

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminaire GT3, University of Strasbourg
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Presentation] Stable cohomology of the mapping class groups with some particular twisted coefficients2022

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Seminaire GT3
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K22391
  • [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-19H01784
  • [Presentation] A double version of Turaev’s gate derivatives2021

    • Author(s)
      Nariya Kawazumi
    • Organizer
      RIMS 研究集会「Geometry of discrete groups and hyperbolic spaces」
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Presentation] トポロジー ― 否定的なものを代数的に捉える2021

    • Author(s)
      河澄響矢
    • Organizer
      2021年度教養総合「数理科学の最先端」
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [Presentation] A double version of Turaev’s gate derivatives2021

    • Author(s)
      河澄響矢
    • Organizer
      大阪大学トポロジーセミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [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] リーマン面に関連する位相幾何学の問題2021

    • Author(s)
      河澄響矢
    • Organizer
      RIMS 共同研究「複素幾何学の諸問題 II」
    • Invited
    • Data Source
      KAKENHI-PROJECT-19H01784
  • [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] A double version of Turaev’s gate derivatives2020

    • Author(s)
      Nariya Kawazumi
    • Organizer
      Teichmuller Theory: Classical, Higher, Super and Quantum
    • 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
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  • 137.  KURIBAYASHI Katsuhiko
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 138.  NAITO Takahito
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 139.  DIETER Kotschick
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 140.  ROBERT Penner
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 141.  Penner Robert
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 142.  Alekseev Anton
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 143.  Naef Florian
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results

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