Akita Toshiyujki 秋田利之

… 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)	2025: 北海道大学, 理学研究院, 教授
Affiliation (based on the past Project Information) *help	2017 – 2024: 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 群のコホモロジー / 写像類群 / Coxeter群 / 特性類 / コホモロジー / カンドル / Artin群 / トポロジー / ラック / 分類空間 … More / Wirtinger表示 / クロス加群 / 群コホモロジー / Coxeterカンドル / 幾何学 / 離散群 / 線型表現 / Steenrod作用素 / コホモロジー作用素 / Riemann-Roch公式 / 森田-Mumford類 / Euler数 / G-符号数 / 曲面束 / ホモロジー安定性 / Schur被覆 / ホモロジー / ブレイド群 / 中心拡大 / スペクトル系列 / complex / Euler characteristic / mapping class groups / geometry / topology / cohomology / discrete groups / Davis-Vinberg複体 / 同変特性類 / 複体の幾何構造 / ホモロジー表現 / 符号数 / 複体 / オイラー数 / 消滅定理 / crossed module / 交代群 / 有限群 / 同変ホモロジー / Coxeter複体 / Galois被覆 / コサイクル / Mackey函手 / Mackey 函手 / 平坦束 / 分岐被覆 / Dehn-Sommerville方程式 / Voronoiの恒等式 / Wu類 / Stiefel-Whitney類 / Kummerの恒等式 / Riemann-Roch型公式 / G-符号類 / スピン写像類群 / 同変K理論 / 同変ボルディズム / 自由分解 / Aryin群 / 反復的曲面束 / η不変量 / 森田-Mumfrod類 / Torelli群 … More Except Principal Investigator モジュライ空間 / 写像類群 / リーマン面 / mapping class group / Riemann surface / ジョンソン準同型 / マグナス展開 / Magnus expansion / moduli space / 超楕円的写像類群 / ゲージ理論 / 4次元多様体 / 3次元多様体 / 森田マンフォード類 / シンプレクティック幾何学 / Johnson homomorphism / automorphism group of a free group / Stasheff associahedron / Morita-Mumford class / 森田マシフォード類 / 積分周期 / 擬等角変形 / 調和積分論 / スタシェフのアソシアヘドロン / マグナス表現 / 自由群の自己同型群 / スタシェフ結合多面体 / uni-modal plane curve / mapping space quotient / singular Legendre knot / symplectic moduli space / coisotropic mapping / singular Legendre submanifolds / Goursat distribution / Monge-Ampere equation / 解空間零点定理 / 非正規型常微分方程式 / マスロフ不変量 / サーストン・ベネカン不変量 / 微分構造 / ルジャンドル曲線 / 非固有アフィン曲面 / ガウス曲率 / グルサ系 / 特異ラグランジュ多様体 / アイソトロピック写像 / モンジュ・アンペール系 / ユニモダル特異点 / 接触モデュライ空間 / ガウス・クロネッカー曲率 / ユニモダル平面曲線 / 写像商空間 / 特異ルジャンドル結び目 / シンプレクティック・モデュライ空間 / コイソトロピック写像 / 特異ルジャンドル多様体 / グルサ分布 / モンジュ・アンペール方程式 / non-commutitire geometry / Volume conjecture / 3-dimensional manifold / Grothendieck-teichmuller group / Floer homotopy type / tautological代数 / シンプレクティック群 / Mumford-Morita-Miller類 / 超楕円写像類群 / 面積保存微分同相群 / 葉層曲面バンドル / Seiberg-witten理論 / Grothendieck-Teichmullerモジュラー群 / 森田Mumford類 / Seiberg-Witten理論 / 面積保存微分同相 / 葉層曲面束 / 非可換幾何 / 体積予想 / Grothendieck-Teichmuller群 / Floerホモトピー型 / hyperelliptic mapping class group / Bruschi-Calogero equation / surface symmetry / Morita-Mumford classes / 楕円函数 / 森田・マニフォード類 / ブルスキ・カロジェロ方程式 / 曲面の対称性 / 森田・マンフォード類 / Schur ring / plane / cohomology / algebra / homotopy / geometry / 積差集合 / 擬正則 / 共線変換群 / 射影平面 / シュアー環 / 平面 / コホモロジー / 代数 / ホモトピー / 幾何 / Admissible maps / Pairing / Compact Lie groups / p-compact groups / Homotopy / Classifying spaces / Coxter群 / Whitehead積 / コンパクトLie群 / p-コンパクト群 / 有限ループ空間 / コホモロジー論 / ホモトピー論 / 分類空間 / Morita-Mumford類 / 実解析的微分同相群 / 有限型不変量 / 葉層構造 / Hamiltonベクトル場 / ループ空間 / 微分同相群 / 位相不変量 / ホモロジー3球面 / ホモロジーシリンダー / 量子化予想 / 局所化 / 絶対ガロア群 / シンプレクティック微分 / Gel'fand-Kalinin-Fuks理論 / 葉層構造の特性類 / 自由群 / グラフ / 複素解析ベクトル場 / 複素解析的ベクトル場 / ファットグラフ / ゲルファント・フクス・コホモロジー / 複素解析葉層 / 位相幾何学 / ストリング・トポロジー / 形式的シンプレクティック幾何 / ピカール・レフシェッツ公式 / デーン・ツイスト / 非可換ピカール・レフシェッツ公式 / ゴールドマン・リー代数 / アラケロフ・グリーン函数 / オービフォルド / チャーン類 / シューベルト計算 / 局所化公式 / 同変ホモロジー / 代数的スタック / 構成的関数 / チャーン・マクファーソン自然変換 / トム多項式 / 特異チャーン類 / 特性類 / 特異点論 / 幾何学的量子化 / 偏極 / 展開写像 / 射影平坦 / ショットキー多様体 / 共形的はめ込み / 共形平坦 Less

群のホモロジー、Wirtinger群、カンドル、クロス加群の位相幾何学的研究Principal Investigator
- Principal Investigator
  
  秋田利之
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Hokkaido University
Cohomology of Coxeter groups, Artin groups, and Coxeter quandlesPrincipal Investigator
- Principal Investigator
  
  秋田利之
- Project Period (FY)
  2020 – 2024
- 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

[Journal Article] Embedding Alexander quandles into groups2023
- Author(s)
  Akita Toshiyuki
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 32 Issue: 02 Pages: 2350011-2350011
- DOI
  10.1142/s0218216523500116
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03600
[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] Structure of the associated groups of quandles2022
- Author(s)
  Akita Toshiyuki、Hasegawa Aoi、Tanno Masayoshi
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: 45 Issue: 2 Pages: 270-281
- DOI
  10.2996/kmj45205
- ISSN
  0386-5991, 1881-5472
- Year and Date
  2022-06-30
- Language
  English
- Peer Reviewed
- 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 Issue: 4 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 Artingroups2018
- Author(s)
  Akita Toshiyuki、Liu Ye
- Journal Title
  
  Algebraic & Geometric Topology
  
  Volume: 18 Issue: 1 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: 132-141
- DOI
  10.1016/j.jalgebra.2016.11.005
- Peer Reviewed
- 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 Issue: 6 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
  
  Publications of the Research Institute for Mathematical Sciences
  
  Volume: 47 Issue: 4 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 Issue: 2 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 Issue: 07 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] カンドルの付随群について2024
- Author(s)
  秋田利之
- Organizer
  研究集会「カンドルと対称空間」
- Invited
- Data Source
  KAKENHI-PROJECT-20K03600
[Presentation] Alexanderカンドルの共役カンドルへの埋め込み2023
- Author(s)
  秋田利之
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-20K03600
[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] カンドルのassociated groupについて2022
- Author(s)
  秋田利之, 長谷川蒼
- Organizer
  日本数学会秋季総合分科会
- 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

1. KAWAZUMI Nariya (30214646)

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36. ISHIGURO Kenshi (00268971)

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37. INOUE Atsushi (50078557)

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38. NAKAMURA Hiroaki (60217883)

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39. YAMAGUCHI Keizo (00113639)

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40. IZUMIYA Shyuichi (80127422)

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41. ONO Kaoru (20204232)

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42. IZEKI Hiroyasu (90244409)

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43. HOSAKA Tetsuya (50344908)

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44. 陶山芳彦 (70028223)

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45. 荻秀和 (30248471)

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46. 高倉樹 (30268974)

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47. 吉田守 (60078607)

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48. 皆川宏之 (30241300)

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49. 森吉仁志 (00239708)

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50. 宮岡礼子 (70108182)

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51. DIETER Kotschick

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52. ROBERT Penner

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Akita Toshiyujki 秋田 利之

TOSHIYUKI Akita 秋田 利之

AKITA Toshiyuki 秋田 利之

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群のホモロジー、Wirtinger群、カンドル、クロス加群の位相幾何学的研究Principal Investigator

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Cohomology of Coxeter groups, Artin groups, and Coxeter quandlesPrincipal Investigator

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Topological studies on cohomology of Artin groups and related topicsPrincipal Investigator

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Cohomology of mapping class groups, Coxeter groups and Artin groupsPrincipal Investigator

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Constructions of cocycles of finite groups by characteristic classesPrincipal Investigator

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Coho mology of discrete groups and characteristic classes of flat bundlesPrincipal Investigator

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Studies on the Cohomology of Mapping Class Groups, Coxeter Groups and Artin GroupsPrincipal Investigator

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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

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Akita Toshiyujki 秋田利之

TOSHIYUKI Akita 秋田利之

AKITA Toshiyuki 秋田利之