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Akita Toshiyujki  秋田 利之

ORCIDConnect your ORCID iD *help
… Alternative Names

TOSHIYUKI Akita  秋田 利之

AKITA Toshiyuki  秋田 利之

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Researcher Number 30279252
Other IDs
External Links
Affiliation (Current) 2022: 北海道大学, 理学研究院, 教授
Affiliation (based on the past Project Information) *help 2017 – 2021: 北海道大学, 理学研究院, 教授
2016: 北海道大学, 理学研究院, 准教授
2011 – 2015: 北海道大学, 理学(系)研究科(研究院), 准教授
2007 – 2011: Hokkaido University, Faculty of Science, Associated Professor
2009: 北海道大学, 大学院・理学研究科, 准教授 … More
2006: 北海道大学, 大学院理学研究院, 助教授
2000 – 2005: 北海道大学, 大学院・理学研究科, 助教授
2001: Hokkaido University, Faculty of Science, Associate Professor, 大学院・数学研究科, 助教授
1997 – 1998: 福岡大学, 理学部, 助手
1996: 福岡大学, 理学部・応用数学科, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / Basic Section 11020:Geometry-related
Except Principal Investigator
Geometry / Geometry / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
写像類群 / 群のコホモロジー / 特性類 / Coxeter群 / コホモロジー / トポロジー / Artin群 / 分類空間 / カンドル / 曲面束 … More / G-符号数 / Euler数 / 森田-Mumford類 / Riemann-Roch公式 / コホモロジー作用素 / Steenrod作用素 / 線型表現 / 離散群 / 幾何学 / Coxeterカンドル / Torelli群 / 森田-Mumfrod類 / η不変量 / 反復的曲面束 / Aryin群 / 自由分解 / 同変ボルディズム / 同変K理論 / スピン写像類群 / G-符号類 / Riemann-Roch型公式 / Kummerの恒等式 / Stiefel-Whitney類 / Wu類 / Voronoiの恒等式 / Dehn-Sommerville方程式 / 分岐被覆 / 平坦束 / Mackey 函手 / Mackey函手 / コサイクル / Galois被覆 / Coxeter複体 / 同変ホモロジー / 有限群 / 交代群 / crossed module / 消滅定理 / オイラー数 / 複体 / 符号数 / ホモロジー表現 / 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 / ラック / スペクトル系列 / クロス加群 / Schur被覆 / ブレイド群 / ホモロジー安定性 … More
Except Principal Investigator
リーマン面 / 写像類群 / モジュライ空間 / マグナス展開 / ジョンソン準同型 / Riemann surface / mapping class group / シンプレクティック幾何学 / 森田マンフォード類 / 3次元多様体 / 4次元多様体 / ゲージ理論 / 超楕円的写像類群 / moduli space / Magnus expansion / 共形平坦 / 共形的はめ込み / ショットキー多様体 / 射影平坦 / 展開写像 / 偏極 / 幾何学的量子化 / 特異点論 / 特性類 / 特異チャーン類 / トム多項式 / チャーン・マクファーソン自然変換 / 構成的関数 / 代数的スタック / 同変ホモロジー / 局所化公式 / シューベルト計算 / チャーン類 / オービフォルド / アラケロフ・グリーン函数 / ゴールドマン・リー代数 / 非可換ピカール・レフシェッツ公式 / デーン・ツイスト / ピカール・レフシェッツ公式 / 形式的シンプレクティック幾何 / ストリング・トポロジー / 位相幾何学 / 複素解析葉層 / ゲルファント・フクス・コホモロジー / ファットグラフ / 複素解析的ベクトル場 / 複素解析ベクトル場 / グラフ / 自由群 / 葉層構造の特性類 / Gel'fand-Kalinin-Fuks理論 / シンプレクティック微分 / 絶対ガロア群 / 局所化 / 量子化予想 / ホモロジーシリンダー / ホモロジー3球面 / 位相不変量 / 微分同相群 / ループ空間 / Hamiltonベクトル場 / 葉層構造 / 有限型不変量 / 実解析的微分同相群 / Morita-Mumford類 / 分類空間 / ホモトピー論 / コホモロジー論 / 有限ループ空間 / p-コンパクト群 / コンパクトLie群 / Whitehead積 / Coxter群 / Classifying spaces / Homotopy / p-compact groups / Compact Lie groups / Pairing / Admissible maps / 幾何 / ホモトピー / 代数 / コホモロジー / 平面 / シュアー環 / 射影平面 / 共線変換群 / 擬正則 / 積差集合 / geometry / homotopy / algebra / cohomology / plane / Schur ring / 森田・マンフォード類 / 曲面の対称性 / ブルスキ・カロジェロ方程式 / 森田・マニフォード類 / 楕円函数 / Morita-Mumford classes / surface symmetry / Bruschi-Calogero equation / hyperelliptic mapping class group / Floerホモトピー型 / 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 / 超楕円写像類群 / Mumford-Morita-Miller類 / シンプレクティック群 / tautological代数 / Floer homotopy type / Grothendieck-teichmuller group / 3-dimensional manifold / Volume conjecture / non-commutitire geometry / モンジュ・アンペール方程式 / グルサ分布 / 特異ルジャンドル多様体 / コイソトロピック写像 / シンプレクティック・モデュライ空間 / 特異ルジャンドル結び目 / 写像商空間 / ユニモダル平面曲線 / ガウス・クロネッカー曲率 / 接触モデュライ空間 / ユニモダル特異点 / モンジュ・アンペール系 / アイソトロピック写像 / 特異ラグランジュ多様体 / グルサ系 / ガウス曲率 / 非固有アフィン曲面 / ルジャンドル曲線 / 微分構造 / サーストン・ベネカン不変量 / マスロフ不変量 / 非正規型常微分方程式 / 解空間零点定理 / Monge-Ampere equation / Goursat distribution / singular Legendre submanifolds / coisotropic mapping / symplectic moduli space / singular Legendre knot / mapping space quotient / uni-modal plane curve / スタシェフ結合多面体 / 自由群の自己同型群 / マグナス表現 / スタシェフのアソシアヘドロン / 調和積分論 / 擬等角変形 / 積分周期 / 森田マシフォード類 / Morita-Mumford class / Stasheff associahedron / automorphism group of a free group / Johnson homomorphism Less
  • Research Projects

    (19 results)
  • Research Products

    (92 results)
  • Co-Researchers

    (52 People)
  •  Cohomology of Coxeter groups, Artin groups, and Coxeter quandlesPrincipal Investigator

    • Principal Investigator
      秋田 利之
    • Project Period (FY)
      2020 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Hokkaido University
  •  Topological studies on cohomology of Artin groups and related topicsPrincipal Investigator

    • Principal Investigator
      Akita Toshiyuki
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Cohomology of mapping class groups, Coxeter groups and Artin groupsPrincipal Investigator

    • Principal Investigator
      Akita Toshiyuki
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Constructions of cocycles of finite groups by characteristic classesPrincipal Investigator

    • Principal Investigator
      AKITA Toshiyuki
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Coho mology of discrete groups and characteristic classes of flat bundlesPrincipal Investigator

    • Principal Investigator
      AKITA Toshiyuki
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido 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
  •  Topological Studies around Riemann Surfaces

    • 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
  •  Equivariant theory of Chern classes, Integrals based on Euler characteristics and related topics

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

    • 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
  •  写像類群のコホモロジーと整係数Riemann-Roch公式の位相幾何学的研究Principal Investigator

    • Principal Investigator
      秋田 利之
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Applied singularity theory to exterior differential systems

    • Principal Investigator
      ISHIKAWA Goo
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Complex analytic approach towards topology studies on the mapping class ganups for surfaces

    • 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
  •  写像類群のコホモロジーと曲面束の特性類の位相幾何学的研究Principal Investigator

    • Principal Investigator
      秋田 利之
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  A topological study of the moduli space of Riemann surface

    • 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
  •  反復的曲面束の位相幾何学的研究Principal Investigator

    • Principal Investigator
      秋田 利之
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Fukuoka University
  •  Homotoy Theory of Classifying Spaces

    • Principal Investigator
      ISHIGURO Kenshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Fukuoka University
  •  On the construction and classification of the finite geometry

    • Principal Investigator
      ODA Nobuyuki, AKIYAMA Kenji
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Fukuoka University
  •  正曲率及びワイル共形曲率と多様体の空間

    • Principal Investigator
      陶山 芳彦
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Fukuoka University

All 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2009 2008 2007 2006 2002 Other

All Journal Article Presentation

  • [Journal Article] Structure of the associated groups of quandles2022

    • Author(s)
      Akita, Toshiyuki; Hasegawa, Aoi; Tanno, Masayoshi
    • Journal Title

      Kodai Mathematical Journal

      Volume: -

    • Data Source
      KAKENHI-PROJECT-20K03600
  • [Journal Article] The adjoint group of a Coxeter quandle2020

    • Author(s)
      Akita Toshiyuki
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 60 Pages: 1245-1260

    • DOI

      10.1215/21562261-2019-0061

    • NAID

      120006957258

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03600
  • [Journal Article] Second mod 2 homology of Artin groups2018

    • Author(s)
      Akita Toshiyuki、Liu Ye
    • Journal Title

      Algebraic & Geometric Topology

      Volume: 18 Pages: 547-568

    • DOI

      10.2140/agt.2018.18.547

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05237, KAKENHI-PROJECT-16J00125
  • [Journal Article] Vanishing ranges for the mod p cohomology of alternating subgroups of Coxeter groups2017

    • Author(s)
      Akita, Toshiyuki; Liu, Ye
    • Journal Title

      Journal of Algebra

      Volume: 473 Pages: 132141-132141

    • DOI

      10.1016/j.jalgebra.2016.11.005

    • NAID

      120006558983

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-16J00125, KAKENHI-PROJECT-26400077
  • [Journal Article] A vanishing theorem for the p-local homology of Coxeter groups2016

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Bulletin of the London Mathematical Society

      Volume: 48 Pages: 945956-945956

    • DOI

      10.1112/blms/bdw063

    • NAID

      120006366495

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-26400077
  • [Journal Article] Vanishing theorems for the homology of Coxeter groups and their alternating subgroups2015

    • Author(s)
      秋田利之
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1967 Pages: 53-58

    • Data Source
      KAKENHI-PROJECT-26400077
  • [Journal Article] Periodicity for Mumford-Morita-Miller classes of surface symmetries2011

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Publ.RIMS Kyoto Univ. 印刷中

    • NAID

      110008747020

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Journal Article] Periodicity for Mumford-Morita-Miller classes for surface symmetries2011

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Publ.RIMS Kyoto Univ.

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Journal Article] Periodicity for Mumford-Morita-Miller classes of surface symmetries2011

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Publ. Res. Inst. Math. Sci

      Volume: 47 Pages: 897-909

    • DOI

      10.2977/prims/55

    • NAID

      110008747020

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340008, KAKENHI-PROJECT-23654018
  • [Journal Article] Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups2008

    • Author(s)
      T. Akita
    • Journal Title

      Math. Proc. Cambridge Phil. Soc. 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540056
  • [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 mod p Riemann-Roch formulae for mapping class groups2008

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Advanced Studies in Pure Math. (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540056
  • [Journal Article] Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups2008

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

      Math. Proc. Cambridge Phil. Soc. 144

      Pages: 411-421

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340013
  • [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] A formula for the Euler characteristics of even dimensional triangulated manifolds2008

    • Author(s)
      T. Akita
    • Journal Title

      Proc. Amer. Math. Soc. 136

      Pages: 2571-2573

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Journal Article] A formula for the Euler characteristics of even dimensional manifolds2008

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Proceedings of the American Mathematical Society 136

      Pages: 2571-2573

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Journal Article] On mod p Riemann-Roch formulae for mapping class groups2008

    • Author(s)
      T. Akita
    • Journal Title

      Advanced Studies in Pure Math.(to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Journal Article] Nariya Kawazumi, Integral Riemann-Roch formulae forcyclic subgroups of mapping classgroups2008

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society

      Volume: 144 Pages: 411-421

    • DOI

      10.1017/s0305004107001016

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Journal Article] On mod p Riemann-Roch formulae for mapping class groups2008

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 52 Pages: 111-118

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340008
  • [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] On mod p Riemann-Roch formulae for mapping class groups2008

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Advance Studies in Pure Math. 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540056
  • [Journal Article] On mod p Riemann-Roch formulae for mapping class groups2008

    • Author(s)
      T. Akita
    • Journal Title

      Advanced Studies in Pure Math 52

      Pages: 111-118

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340013
  • [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] 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-20340008
  • [Journal Article] On mod p Riemann-Roch formulae for mapping class groups2008

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Advanced Studies in Pure Mathematics 52

      Pages: 111-118

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340008
  • [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] Integral Ricmann-Roch formulae for cyclic subgroups of mappina class groups2008

    • Author(s)
      Toshiyuki Akita. Nariva Kawazumi
    • Journal Title

      Mathcmatical Proceedings of the Cambridge Philosophical Society 144

      Pages: 411-421

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Journal Article] Surface symmetries, homology representations, and group cohomology2008

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      数理解析研究所講究録 印刷中

    • NAID

      120001442850

    • Data Source
      KAKENHI-PROJECT-17540056
  • [Journal Article] Surface symmetries, homology representations, and group cohomology2008

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      数理解析研究所講究録

      Volume: 1581 Pages: 103-108

    • NAID

      120001442850

    • Data Source
      KAKENHI-PROJECT-20340008
  • [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] A formula for the Euler characteristics of even dimensional triangulated manifolds2008

    • Author(s)
      T. Akita
    • Journal Title

      Proc. Amer. Math. Soc. 136

      Pages: 2571-2573

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540056
  • [Journal Article] A formula for the Euler characteristics of even dimensional triangulated manifolds2008

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Proc. of American Mathematical Society 136

      Pages: 2571-2573

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540056
  • [Journal Article] A formula for the Euler characteristics of even dimensional triangulated manifolds2008

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Proceedings of the American Mathematical Society (to appear)

    • Data Source
      KAKENHI-PROJECT-17540056
  • [Journal Article] On mod p Riemann-Roch formulae for mapping class groups2008

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Advanced Studies in Pure Math. 52

      Pages: 111-118

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Journal Article] A formula for the Euler characteristics of evendimensional triangulated manifolds2008

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 136 Pages: 2571-2573

    • DOI

      10.1090/s0002-9939-08-09148-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Journal Article] Integral Riemann-Roch formulae for cyclic subgrougs of mapping class groups2008

    • Author(s)
      T. Akita
    • Journal Title

      Math. Proc. Cambridge Phil. Soc.(to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Journal Article] A formula for the Euler characteristics of even dimensional triangulated manifolds2007

    • Author(s)
      T.Akita
    • Journal Title

      Proc. Amer. Math. Soc. (to appear)

    • Data Source
      KAKENHI-PROJECT-17340013
  • [Journal Article] Nilpotency and triviality of mod p Marita-Mumford classes of mapping class groups of surfaces2002

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Nagoya Math.J. 165

      Pages: 1-22

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540065
  • [Journal Article] Nilpotency and triviality of mod p Morita-Mumford classes of mapping class groups of surfaces2002

    • Author(s)
      Toshiyuki Akita
    • Journal Title

      Nagoya Math.J. 165

      Pages: 1-22

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540065
  • [Journal Article] On mod p Riemann-Roch formulae for mapping class groups

    • Author(s)
      T. Akita
    • Journal Title

      Advanced Studies in Pure Math.

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540056
  • [Presentation] ブレイド群の中心拡大2022

    • Author(s)
      秋田利之
    • Organizer
      代数的位相幾何学の軌跡と展望
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03600
  • [Presentation] Coxeterカンドルの随伴群2021

    • Author(s)
      秋田利之
    • Organizer
      日本数学会2021年度年会
    • Data Source
      KAKENHI-PROJECT-20K03600
  • [Presentation] Artin群とCoxeterカンドルの随伴群のコホモロジー2020

    • Author(s)
      秋田利之
    • Organizer
      森本雅治先生退職記念研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05237
  • [Presentation] Central extensions of Coxeter groups and Artin groups2019

    • Author(s)
      秋田利之
    • Organizer
      Branched Coverings, Degenerations, and Related Topics 2019
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05237
  • [Presentation] On the cohomology of Coxeter groups and related groups2019

    • Author(s)
      秋田利之
    • Organizer
      The Third Pan Pacific International Conference on Topology and Applications (PPICTA)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05237
  • [Presentation] Coxeter群とArtin群のコホモロジーについて2018

    • Author(s)
      秋田利之
    • Organizer
      九州大学トポロジー金曜セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05237
  • [Presentation] Coxeterカンドルの随伴群2018

    • Author(s)
      秋田利之
    • Organizer
      九州大学数理談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05237
  • [Presentation] Coxeterカンドルとルート系の随伴群2018

    • Author(s)
      秋田利之
    • Organizer
      ホモトピー沖縄
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05237
  • [Presentation] Coxeterカンドルとルート系の随伴群2018

    • Author(s)
      秋田利之
    • Organizer
      2018年度ホモトピー論シンポジウム
    • Data Source
      KAKENHI-PROJECT-17K05237
  • [Presentation] Coxeter groups, Coxeter quandles, and Artin groups2018

    • Author(s)
      秋田利之
    • Organizer
      Matroids, reflection groups, and free hyperplane arrangements
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05237
  • [Presentation] Coxeter groups, Artin groups and Coxeter quandles2017

    • Author(s)
      秋田利之
    • Organizer
      研究集会「ストリングトポロジーとその周辺」
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05237
  • [Presentation] Crossed modules and Artin groups2016

    • Author(s)
      Toshiyuki Akita
    • Organizer
      京都大学代数トポロジーセミナー
    • Place of Presentation
      京都大学理学部(京都府・京都市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400077
  • [Presentation] On the mod p cohomology of Coxeter groups and their alternating subgroups2016

    • Author(s)
      Toshiyuki Akita
    • Organizer
      ホモトピー論シンポジウム
    • Place of Presentation
      県立広島大学サテライトキャンパス(広島県・広島市)
    • Year and Date
      2016-11-12
    • Data Source
      KAKENHI-PROJECT-26400077
  • [Presentation] Second mod 2 homology of Artin groups2016

    • Author(s)
      Toshiyuki Akita
    • Organizer
      東京大学火曜トポロジーセミナー
    • Place of Presentation
      東京大学数理科学研究科(東京都・目黒区)
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400077
  • [Presentation] Cohomology of Coxeter groups and related groups2016

    • Author(s)
      Toshiyuki Akita
    • Organizer
      Perspectives on arrangements and configuration spaces
    • Place of Presentation
      ピサ(イタリア)
    • Year and Date
      2016-09-08
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400077
  • [Presentation] Vanishing theorems for the homology of Coxeter groups and their alternating subgroups2015

    • Author(s)
      秋田利之
    • Organizer
      Workshop and Seminar on Topological Combinatorics and Related Topics
    • Place of Presentation
      カセサート大学(タイ)
    • Year and Date
      2015-01-07
    • Data Source
      KAKENHI-PROJECT-26400077
  • [Presentation] Homological aspects of Coxeter groups2015

    • Author(s)
      秋田利之
    • Organizer
      東京理科大学理工学部数学教室談話会
    • Place of Presentation
      東京理科大学理工学部(千葉県・野田市)
    • Year and Date
      2015-11-06
    • Data Source
      KAKENHI-PROJECT-26400077
  • [Presentation] Vanishing theorems for the homology of Coxeter groups and their alternating subgroups2015

    • Author(s)
      秋田利之
    • Organizer
      研究集会「有限群のコホモロジー論とその周辺」
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2015-02-19
    • Data Source
      KAKENHI-PROJECT-26400077
  • [Presentation] Homology of Coxeter groups2014

    • Author(s)
      秋田利之
    • Organizer
      微分トポロジーセミナー
    • Place of Presentation
      京都大学理学部(京都市)
    • Data Source
      KAKENHI-PROJECT-23654018
  • [Presentation] Vanishing theorems for p-local homology of Coxeter groups and their alternating subgroups2014

    • Author(s)
      秋田利之
    • Organizer
      東京大学トポロジー火曜セミナー
    • Place of Presentation
      東京大学数理科学研究科(東京都目黒区)
    • Year and Date
      2014-10-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400077
  • [Presentation] Vanishing theorem for p-local homology of Coxeter groups2014

    • Author(s)
      秋田利之
    • Organizer
      九州大学トポロジー金曜セミナー
    • Place of Presentation
      九州大学数理学研究院(福岡県福岡市)
    • Year and Date
      2014-06-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400077
  • [Presentation] Coxeter群のホモロジーのp-primary componentについて2014

    • Author(s)
      秋田利之
    • Organizer
      研究集会「変換群の位相幾何と代数構造」
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2014-05-30
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400077
  • [Presentation] Homology of Coxeter groups2014

    • Author(s)
      Toshiyuki Akita
    • Organizer
      微分トポロジーセミナー
    • Place of Presentation
      京都大学理学部数学教室
    • Year and Date
      2014-02-14
    • Data Source
      KAKENHI-PROJECT-23654018
  • [Presentation] Coxeter群のホモロジーのp-primary componentについて2014

    • Author(s)
      秋田利之
    • Organizer
      変換群の位相幾何と代数構造
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Data Source
      KAKENHI-PROJECT-23654018
  • [Presentation] Vanishing theorems for p-local homology groups of Coxeter groups and their alternating subgroups2014

    • Author(s)
      秋田利之
    • Organizer
      The 1st Workshop of JSPS-MAE Sakura Program "Geometry and Combinatorics of Hyperplane Arrangements and Related Problems"
    • Place of Presentation
      北海道大学理学研究院(北海道札幌市)
    • Year and Date
      2014-09-02
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400077
  • [Presentation] On the p-local homology of Coxeter groups2013

    • Author(s)
      秋田利之
    • Organizer
      代数幾何セミナー
    • Place of Presentation
      北海道大学理学部(札幌市)
    • Data Source
      KAKENHI-PROJECT-23654018
  • [Presentation] On the p-local homology of Coxeter groups2013

    • Author(s)
      Toshiyuki Akita
    • Organizer
      代数幾何セミナー
    • Place of Presentation
      北海道大学数学教室
    • Year and Date
      2013-07-09
    • Data Source
      KAKENHI-PROJECT-23654018
  • [Presentation] Groups of Galois coverings of Riemann surfaces and equivariant characteristic classes2013

    • Author(s)
      Toshiyuki Akita
    • Organizer
      Branched Coverings, Degenerations, and Related Topics 2013
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2013-03-08
    • Data Source
      KAKENHI-PROJECT-23654018
  • [Presentation] Surface symmetries and equivariant characteristic classes2012

    • Author(s)
      Toshiyuki Akita
    • Organizer
      Topology of Singularities and Related Topics III(招待講演)
    • Place of Presentation
      ダラット大学(ベトナム)
    • Data Source
      KAKENHI-PROJECT-23654018
  • [Presentation] Surface symmetries and equivariant characteristic classes2012

    • Author(s)
      Toshiyuki Akita
    • Organizer
      Topology of Singularities and Related Topics III(JSPS-VAST Japan-Vietnam Bilateral Joint Projects)
    • Place of Presentation
      University of Dalat, Dalat, Vietnam
    • Year and Date
      2012-03-29
    • Data Source
      KAKENHI-PROJECT-23654018
  • [Presentation] Groups of Galois coverings of closed oriented surfaces2012

    • Author(s)
      Toshiyuki Akita
    • Organizer
      研究集会「リーマン面に関連する位相幾何学」
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2012-09-01
    • Data Source
      KAKENHI-PROJECT-23654018
  • [Presentation] Surface symmetries and equivariant characteristic classes2012

    • Author(s)
      Toshiyuki Akita
    • Organizer
      Topology of Singularities and Related Topics III
    • Place of Presentation
      ダラット大学(ベトナム)(招待講演)
    • Year and Date
      2012-03-29
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Presentation] Surface symmetries and equivariant characteristic classes2012

    • Author(s)
      Toshiyuki Akita
    • Organizer
      Topology of Singularities and Related Topics III (JSPS-VAST Japan-Vietnam Bilateral Joint Projects)
    • Place of Presentation
      University of Dalat, Dalat, ベトナム
    • Year and Date
      2012-03-29
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Presentation] Surface symmetries and Mackey functors2011

    • Author(s)
      Toshiyuki Akita
    • Organizer
      琉球大学数学教室談話会
    • Place of Presentation
      琉球大学理学部
    • Year and Date
      2011-04-21
    • Data Source
      KAKENHI-PROJECT-23654018
  • [Presentation] Mackey functors associated with surface symmetries2011

    • Author(s)
      Toshiyuki Akita
    • Organizer
      第6回代数・解析・幾何セミナー
    • Place of Presentation
      鹿児島大学理学部
    • Year and Date
      2011-02-15
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Presentation] Surface symmetry and cohomology of finite groups2011

    • Author(s)
      Toshiyuki Akita
    • Organizer
      Seminários de Topologia
    • Place of Presentation
      ICMC-USP, São Carlos, Brazil
    • Year and Date
      2011-09-02
    • Data Source
      KAKENHI-PROJECT-23654018
  • [Presentation] Surface symmetry and cohomology of finite groups2011

    • Author(s)
      Toshiyuki Akita
    • Organizer
      Seminarios de Topologia, ICMC-USP
    • Place of Presentation
      サンパウロ大学(ブラジル)(招待講演)
    • Year and Date
      2011-09-02
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Presentation] Surface symmetry and cohomology of finite groups2011

    • Author(s)
      Toshiyuki Akita
    • Organizer
      Seminários de Topologia(招待講演)
    • Place of Presentation
      ICMC-USP(ブラジル)
    • Data Source
      KAKENHI-PROJECT-23654018
  • [Presentation] Surface symmetry and cohomology of finite groups2011

    • Author(s)
      Toshiyuki Akita
    • Organizer
      Seminarios de Topologia
    • Place of Presentation
      ICMC-USP, Sao Carlos, ブラジル
    • Year and Date
      2011-09-02
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Presentation] Cohomology of finite groups and characteristic classes2009

    • Author(s)
      秋田利之
    • Organizer
      京都大学数学教室談話会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-12-16
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Presentation] Surface symmetries and group cohomology2008

    • Author(s)
      T. Akita
    • Organizer
      福岡微分幾何研究会
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2008-11-23
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Presentation] Surface symmetries and group cohomology2008

    • Author(s)
      秋田利之
    • Organizer
      福岡微分幾何研究会
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2008-11-23
    • Data Source
      KAKENHI-PROJECT-20340008
  • [Presentation] 曲面上の群作用と群のコホモロジー2007

    • Author(s)
      T. Akita
    • Organizer
      研究集会 「有限群のコホモロジー論とその周辺」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-08-30
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Presentation] 曲面上の群作用と群のコホモロジー2007

    • Author(s)
      T. Akita
    • Organizer
      研究集会「有限群のコホモロジー論とその周辺」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-08-30
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Presentation] Surface symmetry, homology representations and group cohomology2007

    • Author(s)
      T. Akita
    • Organizer
      Algebras, Groups and Geometries in Tambara
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Year and Date
      2007-10-17
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Presentation] Surface symmetry, homology representations and group cohomology2007

    • Author(s)
      T. Akita
    • Organizer
      Algebras, Groups and Geometries in Tambara
    • Place of Presentation
      東大玉原国際セミナーハウス
    • Year and Date
      2007-10-17
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Presentation] 曲面上の群作用と群のコホモロジー2007

    • Author(s)
      秋田利之
    • Organizer
      研究集会「有限群のコホモロジー」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-08-30
    • Data Source
      KAKENHI-PROJECT-17540056
  • [Presentation] On mod p Riemann-Roch formulae for mapping class groups2006

    • Author(s)
      Toshiyuki Akita
    • Organizer
      Groups of Diffeomorphisms 2006
    • Place of Presentation
      東京大学
    • Year and Date
      2006-09-12
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540056
  • [Presentation] On mod p Riemann-Roch formulae for mapping class groups2006

    • Author(s)
      T. Akita
    • Organizer
      Groups of Diffeomorphisms
    • Place of Presentation
      The University of Tokyo
    • Year and Date
      2006-09-12
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540056
  • [Presentation] Groups of Galois coverings of closed oriented surfaces

    • Author(s)
      秋田利之
    • Organizer
      研究集会「リーマン面に関連する位相幾何学」
    • Place of Presentation
      東京大学大学院数理科学研究科(東京都)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654018
  • [Presentation] Groups of Galois coverings of Riemann surfaces and equivariant characteristic classes

    • Author(s)
      秋田利之
    • Organizer
      Branched Coverings, Degenerations, and Related Topics 2013
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654018
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    # of Collaborated Products: 0 results
  • 26.  KITANO Teruaki (90272658)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  FUJIWARA Koji (60229078)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  MORIFUJI Takayuki (90334466)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  SUZUKI Masaaki (70431616)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  SAKASAI Takuya (60451902)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  WATANABE Tadayuki (70467447)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  YOSHIDA Tomoyuki (30002265)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  KURIBAYASHI Katsuhiko (40249751)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  YAGITA Nobuaki (20130768)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  SATOH Takao (70533256)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  ISHIGURO Kenshi (00268971)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  INOUE Atsushi (50078557)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  NAKAMURA Hiroaki (60217883)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  YAMAGUCHI Keizo (00113639)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  IZUMIYA Shyuichi (80127422)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  ONO Kaoru (20204232)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  IZEKI Hiroyasu (90244409)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  HOSAKA Tetsuya (50344908)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  陶山 芳彦 (70028223)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  荻 秀和 (30248471)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  高倉 樹 (30268974)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  吉田 守 (60078607)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  皆川 宏之 (30241300)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  森吉 仁志 (00239708)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  宮岡 礼子 (70108182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  DIETER Kotschick
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  ROBERT Penner
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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