Kawazumi Nariya 河澄響矢

… Alternative Names

Researcher Number	30214646
Other IDs
External Links
Affiliation (Current)	2019: 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: 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
Review Section/Research Field	Principal Investigator Geometry / Geometry / Humanities and Social Sciences / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Geometry / 代数学・幾何学 / Humanities and Social Sciences / 代数学 / Basic Section 11020:Geometry-related / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords	Principal Investigator リーマン面 / モジュライ空間 / 写像類群 / マグナス展開 / ジョンソン準同型 / 特性類 / コホモロジー / ゴールドマン・トゥラエフ・リー双代数 / ベクトル場 / リー代数 … More Except Principal Investigator 写像類群 / 幾何学 / トポロジー / 離散群 / モジュライ空間 / リーマン面 / 多様体 / 双曲幾何 / 微分同相群 / Teichmuller空間 / 3次元多様体 / 葉層構造 / オートマトン / Klein群 / クライン群 / 変形空間 / 4次元多様体 / 位相幾何 / 力学系 / タイヒミュラー空間 / アルティン群 / 特異多様体 / 双曲群 / 増大級数 / 特性類 / mapping class group / Riemann surface / 双曲多様体 / シンプレクティック幾何学 / シンプレクティック微分 / 局所化 / 位相不変量 / ゲージ理論 / シンプレクティック幾何 / 分類空間 / 微分トポロジー / コンパクト化 / 符号数 / 増大関数 / 特性類の局所化 / 留数 / 錐多様体 / 幾何学的群論 / ブレイド群 / 二面体群 / 無限群 / characteristic classes / singular varieties / 可積分測地流 / 超楕円写像類群 / Integrable geodesic flow / 可積分系 / Web / 接触構造 / Integrable system / モノドロミー / moduli space / monodromy / Floerホモトピー型 / Floer homotopy type / アノソフ流 / 測地的代表元 / モジュラ-形式 / L関数 / ホッジ構造 / ガロア表現 / 組み紐群 / タイヒミュラ-群 / フェルマ-多様体 / 特異ファイバ- / モノドロミ- / 曲面写像類 / リ-マン面 / 超ケーラー商 / 超ケーラー多様体 / シンプレティック商 / シンプレクティック商 / 東アジア / 海域 / 文化交流 / 日本文化 / 伝統文化 / 寧波 / 東シナ海 / 歴史 / Riemann面 / 幾何的極限 / 曲線複体 / hierarchy / グラフ / 自由群 / 葉層構造の特性類 / Gel'fand-Kalinin-Fuks理論 / 絶対ガロア群 / 量子化予想 / ホモロジーシリンダー / ホモロジー3球面 / ループ空間 / Hamiltonベクトル場 / 有限型不変量 / 実解析的微分同相群 / Morita-Mumford類 / 群 / 結び目 / トーリックトポロジー / 離散部分群 / 位相亜群 / 位相幾何学 / オービフォールド / 局所符号数 / グルポイド / 普遍退化族 / 特異ファイバーの分裂 / 多様性 / 組みひも群 / 複素解析幾何 / チャーン類 / アティア類 / 特異正則分布 / アティヤ類 / 複素解析幾何学 / ３次元トポロジー / 幾何構造 / 計算機支援 / 体積 / ２次特性類 / 3次元トポロジー / 2次特性類 / 作用素環論 / アレクサンドロフ空間 / 擬準同型 / 区間交換写像 / 離散群論 / 測度集中 / simplicial volume / hyperbolic manifold / random groups / cat (0) cube complex / Alexandrov spaces / quasi-homomorphisms / p-harmonic map / 二面体型 / ピソ数 / ２面体型 / 空間形 / 野性的空間 / 微分幾何 / 群論 / ベクトル場 / 特異葉層構造 / 指数と留数 / ベットル場 / 正則ベクトル場 / vector fields / singular foliations / indices and residues / localization / 接触交換 / 超幾何方程式系 / 準線形二階偏微分方程式 / 超性解の分岐 / ラフランシュ安定性 / 接触変換 / 準線形一階偏微分方程式 / 接触幾何学 / 例外形単純リー環 / 二階の過剰決定系 / 二階偏微分方程式系 / 例外単純リー環 / 同値問題 / 超幾何微分方程式系 / Contact Transformation / Hypergeometric Systems / Quasi-linear First Order PDE / Viscosity Solution / Lagrange Stability / Hyperelliptic mopping class groups / WEB / 葉層 / CHERN接続 / 複素力学系 / 非可解群作用 / 一階偏微分方程式 / 高階拳微分方程式 / 高階偏微分方程式 / 一階微分方程式 / ルジャンドル / pseudo group / 留数公式 / Foliation / Chern onnection / Complex dynamics / Non solvable Dynamics / First Order PDE / Higher Order ODE / 非可換幾何学 / K理論 / 巡回コホモロジー / 指数定理 / 非可換微分幾何学 / K-理論 / Maslov類 / spectral flow / NONCOMMUTATIVE GEOMETRY / K-TEHORY / CYCLIC COHOMOLORY / THE INDEX THEOREM / SYMPLECTIC GEOMETRY / ハミルトン力学 / リーマン多様体 / リウヴィル多様体 / 測地線 / 半古典近似 / クウヴィル多様体 / Hamiltonian mechanics / Symplectic geometry / Riemannian geometry / Liouville manifolds / Geodesic flow / Semiclassical approximation / トレリ群 / リーマン面の族 / ジョンソン準同型 / ジョンソン準同形 / Torelli group / family of Riemann surfaces / 特性類の局所他 / Schwartz-MacPherson類 / Fulton-Jphnsan類 / Milnor類 / 多重度 / 連接層 / Riemann-Rochの定理 / Fulton-Johnson類 / Milnor数 / Riemanu-Rochの定理 / localization of characteristic classes / Schwartz-MacPherson class / Fulton-Johnson class / Milnor class / multiplicity / coherent sheaves / Riemann-Roch theorem / 退化 / 特異ファイバー / 分裂 / 大域的モノドロミー / クアンドル / 分裂変形 / Seiberg-witten方程式 / 大域モノドロミー / カンドル / 同伴不等式 / 擬周期写像 / Riemann surfaces / degeneration / singular fiber / splitting / Grothendieck-Teichmuller群 / 体積予想 / 非可換幾何 / 葉層曲面束 / 面積保存微分同相 / Seiberg-Witten理論 / 森田Mumford類 / Grothendieck-Teichmullerモジュラー群 / Seiberg-witten理論 / 葉層曲面バンドル / 面積保存微分同相群 / Mumford-Morita-Miller類 / シンプレクティック群 / tautological代数 / Grothendieck-teichmuller group / 3-dimensional manifold / Volume conjecture / non-commutitire geometry / 変換群 / 群の幾何的理論 / 群作用のダイナミクス / 不変集合 / 無限変換群 / 曲面束 / 幾何的群論 / 横断構造 / 極小集合 / 区分線形構造 / 等長変換群 / infinite groups / transformation grouns / geometric theory of groups / diffeomorphism groups / classifying spaces / dynamics of group actions / invariant sets / 森田-マンフォード類 / 写像群類 / サイバーグ・ウィッテン理論 / 双曲幾何学 / Alexander多項式 / Magnus展開 / トーション / 等長変換 / diffeomorphism group / Teichmuller space / hyperbolic group / Morita-Mumford class / コホモロジー / オイラー数 / 複体 / コホモロジー作用素 / ホモロジー表現 / Riemann-Roch公式 / Coxeter群 / Steenrod作用素 / 群のコホモロジー / Artin群 / 複体の幾何構造 / 同変特性類 / Davis-Vinberg複体 / discrete groups / cohomology / topology / geometry / mapping class groups / Euler characteristic / complex / 双曲構造 / 変形 / 微分方程式 / Fuchs型微分方程式 / 確定特異点 / 不確定特異点 / 合流操作 / manifold / cone-structure / hyperbolic structure / deformation / differential equation / discrete group / automaton / ３次元多様体 / Lefschetzファイバー空間 / 有限生成群 / 有理関数表示 / トーラス結び目群 / ケーリー・グラフ / ザイフェルト束 / 融合積 / 数論的ガロア理論 / 基本群とガロア群 / 数論的位相幾何学 / 国際情報交換 / 数論的基本群 / 整数論 / 代数学 / ガロア群 / 国際協力 / ポリログ関数 / 岩澤理論 / グロタンディーク・タイヒミュラー理論 / ケーリーグラフ / ガーサイド標準形 / スータブル・スプレッド法 / 増大度 / クラスター代数 / Teichmuller理論 Less

Topological Study on Riemann Surfaces through Higher CocyclesPrincipal InvestigatorOngoing
- 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 growthOngoing
- Principal Investigator
  
  藤井道彦
- Project Period (FY)
  2018 – 2020
- 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 theoryOngoing
- 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
  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
  
  代数学
- 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 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2002 Other

All Journal Article Presentation

[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
- 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 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] Intersections of curves on surfaces and their applications to mapping class groups,2015
- Author(s)
  Nariya Kawazumi and Yusuke Kuno
- Journal Title
  
  Ann. Inst. Fourier
  
  Volume: 65 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 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 Journal of Mathematics
  
  Volume: 64 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] 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] 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] 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 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(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)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
2. TSUBOI Takashi (40114566)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
3. OHSHIKA Ken'ichi (70183225)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
4. MATSUMOTO Yukio (20011637)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
5. FUJIWARA Koji (60229078)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
6. UE Masaaki (80134443)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
7. MORIYOSHI Hitoshi (00239708)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
8. FURUTA Mikio (50181459)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
9. IZUMIYA Shuichi (80127422)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
10. AKITA Toshiyuki (30279252)

# of Collaborated Projects: 6 results

# of Collaborated Products: 7 results
11. MINAKAWA Hiroyuki (30241300)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
12. ISHIKAWA Goo (50176161)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
13. FUJII Michihiko (60254231)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
14. ENDO Hisaaki (20323777)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
15. HAYASHI Shuhei (20247208)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
16. SATOH Takao (70533256)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
17. NAKAI Isao (90207704)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
18. SUWA Tatsuo (40109418)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
19. KOJIMA Sadayoshi (90117705)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
20. ASUKE Taro (30294515)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
21. Soma Teruhiko (50154688)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
22. SAKUMA Makoto (30178602)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
23. Miyachi Hideki (40385480)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
24. HASHIMOTO Yoshitake (20271182)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
25. SHIBUKAWA Youichi (90241299)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
26. TADOKORO Yuuki (10435414)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
27. MURAKAMI Jun (90157751)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
28. HIROSE Susumu (10264144)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
29. SAKASAI Takuya (60451902)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
30. MATSUMOTO Shigenori (80060143)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
31. KAMETANI Yukio (70253581)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
32. NAKAYAMA Hiromichi (30227970)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
33. MORISHITA Masanori (40242515)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
34. SAITO Kyoji (20012445)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
35. OKA Mutsuo (40011697)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
36. KUNO Yusuke (80632760)

# of Collaborated Projects: 3 results

# of Collaborated Products: 10 results
37. YAMAGUCHI Keizo (00113639)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
38. NAKAMURA Hiroaki (60217883)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
39. KASAHARA Yasushi (80299370)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
40. YOSHIKAWA Ken-ichi (20242810)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
41. FUKAYA Kenji (30165261)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
42. KOHNO Toshitake (80144111)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
43. MATSUMOTO Makoto (70231602)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
44. MITSUMATSU Yoshihiko (70190725)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
45. KITANO Teruaki (90272658)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
46. MINAMI Norihiko (80166090)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
47. KANAI Masahiko (70183035)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
48. ASAOKA Masayuki (10314832)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
49. NODA Takeo (90431618)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
50. ASHIKAGA Tadashi (90125203)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
51. KAMADA Seiichi (60254380)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
52. OHMOTO Toru (20264400)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
53. YOKURA Shoji (60182680)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
54. SATO Masatoshi (10632010)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
55. NAKAMURA Iku (50022687)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
56. KIYOHARA Kazuyoshi (80153245)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
57. OHBA Kiyoshi (80242337)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
58. KOJIMA Tsuyoshi (90195719)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
59. ITAKURA Masaaki (00242074)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
60. YOKOTE Yutaka (10240201)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
61. SAITO Mareshi (80235077)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
62. OKAMOTO Kazuo (40011720)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
63. KOMATSU Hikosaburou (40011473)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
64. WATANABE Junsei (10262221)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
65. MORIFUJI Takayuki (90334466)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
66. SUZUKI Masaaki (70431616)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
67. MASUDA Mikiya (00143371)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
68. KONO Akira (00093237)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
69. SAEKI Osamu (30201510)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
70. KATO Hisao (70152733)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
71. KANENOBU Taizo (00152819)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
72. KAWAUCHI Akio (00112524)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
73. IWASE Norio (60213287)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
74. KATO Tsuyoshi (20273427)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
75. TAMAKI Dai (10252058)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
76. KIYONO Kazuhiko (40234398)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
77. YOSHIDA Takahiko (70451903)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
78. FUJITA Hajime (50512159)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
79. NAKAMURA Nobuhiro (10512171)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
80. TAKAMURA Shigeru (20362436)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
81. IWASE Zjunici (70183746)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
82. TAKEUCHI Kiyoshi (70281160)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
83. TAJIMA Shinichi (70155076)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
84. NAKAMURA Yayoi (60388494)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
85. YOSHIDA Tomoyoshi (60055324)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
86. KIN Eiko (80378554)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
87. TAKASAWA Mitsuhiko (80323822)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
88. OZAWA Narutaka (60323466)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
89. SHIOYA Takashi (90235507)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
90. AKUTAGAWA Kazuo (80192920)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
91. KODAMA Hiroki (40466826)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
92. TAKAMURA Masashi (20598859)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
93. MATSUDA Yoshifumi (60549294)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
94. HONDA Naofumi (00238817)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
95. SATO Hajime (30011612)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
96. NATSUME Toshikazu (00125890)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
97. MAEDA Yoshiaki (40101076)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
98. ONO Kaoru (20204232)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
99. IGARASHI Masayuki (60256675)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
100. SHIMADA Ichiro (10235616)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
101. IMAYOSHI Yoichi (30091656)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
102. FUKUHARA Shinji (20011687)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
103. AHARA Kazushi (80247147)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
104. IZEKI Hiroyasu (90244409)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
105. HOSAKA Tetsuya (50344908)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
106. OCHIAI Hiroyuki (90214163)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
107. MORIMOTO Yoshinori (30115646)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
108. Wada Masaaki (80192821)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
109. 織田孝幸 (10109415)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
110. 加藤和也 (90111450)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
111. 伊原康隆 (70011484)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
112. 川又雄二郎 (90126037)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
113. 中島啓 (00201666)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
114. 落合卓四郎 (90028241)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
115. 今野宏 (20254138)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
116. 西晴子 (90274430)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
117. 平田茂樹 (90228784)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
118. 岡元司 (10290777)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
119. 井手誠之輔 (30168330)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
120. 小林俊行 (80201490)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
121. 大島利雄 (50011721)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
122. 山田浩嗣 (50210472)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
123. 神田雄高 (30280861)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
124. 井原健太郎 (00467523)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
125. 角皆宏 (20267412)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
126. 古庄英和 (60377976)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
127. 兵藤史武 (80707737)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
128. 玉川安騎男 (00243105)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
129. 北山貴裕 (10700057)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
130. 山崎玲 (30431901)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
131. 山田澄生 (90396416)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
132. KURIBAYASHI Katsuhiko

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
133. NAITO Takahito

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
134. DIETER Kotschick

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
135. ROBERT Penner

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
136. Penner Robert

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
137. Alekseev Anton

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
138. Naef Florian

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results

Kawazumi Nariya 河澄 響矢

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

Research Projects

Research Products

Co-Researchers

Topological Study on Riemann Surfaces through Higher CocyclesPrincipal InvestigatorOngoing

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Geometry of the braid groups and mapping class groups and their growthOngoing

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Various evolutions of Teichmuller theoryOngoing

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Topological studies on Riemann surfaces through Lie bialgebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Topological study of Riemann surfaces through infinite-dimensional Lie algebrasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Kawazumi Nariya 河澄響矢

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