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 / Basic Section 11020:Geometry-related / Algebra / 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 / 3次元多様体 / 葉層構造 / オートマトン / Klein群 / Teichmuller空間 / 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 / 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 / 測地的代表元 / 融合積 / 増大度 / 数論的基本群 / 整数論 / 代数学 / ガロア群 / 国際協力 / 国際情報交換 / 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 / Teichmuller理論 / クラスター代数 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
ガロア群と基本亜群の相互連関から生じる数論的不変量の研究Ongoing
- Principal Investigator
  
  中村博昭
- 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 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
- 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
[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
- 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
- Acknowledgement Compliant / Peer Reviewed
- 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
- 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
- Acknowledgement Compliant / Peer Reviewed
- 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
- 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] 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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’
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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’
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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

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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

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

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Various evolutions of Teichmuller theoryOngoing

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Topological studies on Riemann surfaces through Lie bialgebrasPrincipal Investigator

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ガロア群と基本亜群の相互連関から生じる数論的不変量の研究Ongoing

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

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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