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FURUTA Mikio  古田 幹雄

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… Alternative Names

古田 幹男  フルタ ミキオ

古田 幹雄  フルタ ミキオ

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Researcher Number 50181459
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2017 – 2023: 東京大学, 大学院数理科学研究科, 教授
2017: 東京大学, 数理科学研究科, 教授
2013 – 2015: 東京大学, 数理(科)学研究科(研究院), 教授
2012 – 2013: 東京大学, 大学院・数理科学研究科, 教授
2007 – 2010: The University of Tokyo, Faculty of MathematicaiScierres, Professor … More
2004 – 2007: 東京大学, 数理科学研究科, 教授
2006: University of Tokyo, Graduate School of Mathematical Sciences, Professor, 大学院数理学研究科, 教授
2006: 東京大学, 大学院数理科学研究科, 教授
2000 – 2005: Univ. of Tokyo Dept. of Math. Sci. Professor, 大学院・数理科学研究科, 教授
2001: 東京大学, 大学院・数理科学研究所, 教授
1997 – 1999: 京都大学, 数理解析研究所, 助教授
1994: 東京大学, 大学院・数理科学研究科, 助教授
1994: 東京大学, 大学院数理科学研究科, 助教授
1991: 東京大学, 教養学部, 助教授
1986 – 1987: 東京大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / Science and Engineering
Except Principal Investigator
Geometry / Geometry / 代数学・幾何学 / Medium-sized Section 11:Algebra, geometry, and related fields / Science and Engineering
Keywords
Principal Investigator
ゲージ理論 / トポロジー / 幾何学 / 4次元多様体 / モジュライ空間 / 指数定理 / Wilson-Dirac作用素 / スペクトル切断 / K群 / Bott周期性 … More / ドメインウォール / 格子指数定理 / バルクエッジ対応 / moduli space / monopole equation / index theorem / topological field theory / gauge theory / Seiberg-Witten theory / hyperkahler quotient / 4-dimensional topology / モノボール方程式 / モノポール方程式 / 位相的場の理論 / サイバーグ・ウィッテン理論 / 超ケーラー商 / 4次元位相幾何 / 多様体上の解析 / 微分トポロジー / 位相幾何 / サイバーグ・ウィッテン / スペクトラム / ユニヴァース / 低次元多様体 / ホモトピー論 / リーマン面 / 平坦接続 / モ-ス理論 … More
Except Principal Investigator
モジュライ空間 / 4次元多様体 / ゲージ理論 / リーマン面 / フレアーホモロジー / Fredholm Universe / 局所化 / シンプレクティック幾何学 / 写像類群 / ミラー対称性 / ラグランジュ部分多様体 / スカラー曲率 / 国際情報交換 / トポロジー / gauge theory / Quasi Category / choromatic tower / Seiberg-Witten Invariants / Equivariant Homotopy Theory / Obstruction Theory / Seiberg-Witten不変量 / 同変ホモトピー論 / 特性類 / 障害理論 / Floer homotopy type / Riemann surface / mapping class group / Floerホモトピー型 / Mirror symmetry / moduli space / Floer homology / ホモトピー代数 / シンプレクティック幾何 / ループ空間 / 微分同相群 / ホモロジー3球面 / シンプレクティック微分 / 3次元多様体 / A無限代数 / Dブレイン / 非可換幾何学 / 対応 / 概正則曲線 / 不変量 / 3次元多様体 / 結び目 / 多国籍 / 国際研究交流 / 山辺不変量 / アインシュタイン計量 / 幾何解析 / 微分幾何 / 材料設計 / 階層ネットワーク / 材料 / 離散幾何学 / Sain manifold / Moduli space / Self-dual connections / Eixed point / Group action / Moment map / Symplectic manifold / シンプレクティック多様体 / 自己双対接続 / スピン構造 / 不動点 / 群作用 / 慣性写像 / シンブレクティック多様体 / geometric quantization / 中国 / 幾何学 / 幾何的量子化 / homotopy theory / ホモトピー論 / Motif Theory / Homotonical Algebraic Geometry / Stable Homotopy / Spanier-Whitehead圏 / モチーフ理論 / Homotopical Algebraic Geometry / 安定ホモトピー / Morita-Mumford class / hyperbolic group / Teichmuller space / diffeomorphism group / 等長変換 / トーション / アノソフ流 / Magnus展開 / 幾何学的群論 / Alexander多項式 / 双曲幾何学 / サイバーグ・ウィッテン理論 / Teichmuller空間 / 写像群類 / 森田-マンフォード類 / 双曲群 / タイヒミュラー空間 / Hamiltonian dynamical system / Topological field theory / quasi-regular curve / A infinity algebra / Lagrangian sublmanifolds / symplectic topology / モース理論 / Rigid幾何学 / 超ポテンシャル / A無限大代数 / open string / 曲率と基本群 / シンプレクティック微分同相群 / ハミルトン力学系 / 位相的場の理論 / 擬正則曲線 / A無限大構造 / 4 dimensional Manifolds / Characteristic Classes / Chromatic Tower / Stable Homotopy Category / Seiber-Witten不変量 / charomotic tower / adjunction inequality / chromatic tower / 安定ホモトピー圏 / non-commutitire geometry / Volume conjecture / 3-dimensional manifold / Grothendieck-teichmuller group / tautological代数 / シンプレクティック群 / Mumford-Morita-Miller類 / 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 / monodromy / splitting / singular fiber / degeneration / Riemann surfaces / 擬周期写像 / 同伴不等式 / カンドル / 大域モノドロミー / Seiberg-witten方程式 / 分裂変形 / クアンドル / 大域的モノドロミー / モノドロミー / 分裂 / 特異ファイバー / 退化 / flat structure / regular systems of weights / elliptic L-functions / elliptic Lie algebra / elliptic root systems / elliptic singularities / period maps / primitive forms / Weight系 / エータ積 / 原始保型形式 / 楕円アルティン群 / 平坦座標 / 平坦構造 / 楕円L-函数 / 楕円リー環 / 楕円ワイル群 / 楕円特異点 / 楕円ルート系 / weight系 / 原始形式 / Lagrangian submanifold / Kuranishi map / pseudoholomorphic curve / Homotopical Algebra / Symplectic Geometry / マスロフ指数 / テ-タ関数 / ヤンミルズ方程式 / A無限大カテゴリー / 鏡映対称性 / フレア-ホモロジー / 非可換トーラス / アーベル多様体 / テータ関数 / 軌道体 / ハミルトン系 / 倉西写像 / インスタントン / Dirac型作用素 / Dirac作用素の指数 / 同変指数 / 指数の局所化 / Dirac型作用素の指数 / 幾何学的量子化 / トーラス束 / 指数理論 / ディラック作用素 / 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 / 位相不変量 / ホモロジーシリンダー / 量子化予想 / 絶対ガロア群 / Gel'fand-Kalinin-Fuks理論 / 葉層構造の特性類 / 自由群 / グラフ / 倉西構造 / 変形理論 / ノビコフ環 / シンプレクティック商 / シンプレティック商 / 超ケーラー多様体 / 超ケーラー商 / シンプレティック幾何学 / モノドロミ- / 表現の指標 / Chow群 / 平方剰余記号 / Dedekind和 / 合同部分群 / 非合同イデアル群 / 二次体 Less
  • Research Projects

    (29 results)
  • Research Products

    (97 results)
  • Co-Researchers

    (97 People)
  •  ゲージ理論に関連する3次元双曲多様体の不変量

    • Principal Investigator
      大槻 知忠
    • Project Period (FY)
      2019 – 2024
    • Research Category
      Grant-in-Aid for Challenging Research (Exploratory)
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      Kyoto University
  •  Discrete Geometric Analysis for materials design

    • Principal Investigator
      Kotani Motoko
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)
    • Review Section
      Science and Engineering
    • Research Institution
      Tohoku University
  •  Index theorem and Topological surface statePrincipal Investigator

    • Principal Investigator
      Furuta Mikio
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)
    • Review Section
      Science and Engineering
    • Research Institution
      The University of Tokyo
  •  Gauge theory and localizationPrincipal Investigator

    • Principal Investigator
      Furuta Mikio
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Geometric and Global Analysis of Scalar Curvature and Einstein Metrics

    • Principal Investigator
      AKUTAGAWA KAZUO
    • Project Period (FY)
      2012 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
      Tohoku University
  •  Localization of Riemann-Roch number via torus bundles and its application

    • Principal Investigator
      FUJITA Hajime
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Japan Women's University
      Gakushuin University
  •  Localization of Riemann-Roch number via perturbation of Dirac operator and its applications

    • Principal Investigator
      HAJIME Fujita
    • Project Period (FY)
      2009 – 2010
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Research Field
      Geometry
    • Research Institution
      Gakushuin 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
  •  gauge theory and homotopy theoryPrincipal Investigator

    • 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
  •  Geometric structures on the moduli spaces in gauge theory and its applications to topology

    • Principal Investigator
      KAMETANI Yukio
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  ゲージ理論とホモトピー論Principal Investigator

    • Principal Investigator
      古田 幹雄
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Exploratory Research
    • 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
  •  New Developments ofAlgebtaic Topology

    • Principal Investigator
      MINAMI Norihiko
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya Institute of Technology
  •  Equivariant homotopy theory and gauge theory

    • Principal Investigator
      KAMETANI Yukio
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  物理学に刺激されて生まれた種々の幾何学

    • Principal Investigator
      深谷 賢治
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  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
  •  Homotopy Theory and its Aplications

    • Principal Investigator
      MINAMI Norihiko
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya Institute of Technology
  •  Moduli space, Homotopical algebra, Field theory

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      2001 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  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
      KONNO Hiroshi
    • 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
  •  新しい空間像の創出

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  4-dimensional topology and topological field theory.Principal Investigator

    • Principal Investigator
      FURUTA Mikio
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Geometry
    • Research Institution
      University of Tokyo
      Kyoto University
  •  Moduli space and infinite dimensional geometry

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  Primitive Forms and Period Maps

    • Principal Investigator
      SAITO Kyoji
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  ゲージ理論のモ-ス理論的側面とTFT的側面Principal Investigator

    • Principal Investigator
      古田 幹雄
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  モ-ス理論におけるコホモロジー要素の役割についてPrincipal Investigator

    • Principal Investigator
      古田 幹雄
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  代数拡大体の数論の研究

    • Principal Investigator
      黒田 成信
    • 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
  •  Yang-Mills場と4次元多様体

    • Principal Investigator
      MATSUMOTO Yukio
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  Transformation groups and geometry

    • Principal Investigator
      HATTORI Akio
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Tokyo, Faculty of Science, Department of Mathematics

All 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] American Mathematical Society, Providence, RI2007

    • Author(s)
      古田幹雄
    • Publisher
      Index Theorem 1
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Book] Index Theorem 12007

    • Author(s)
      古田 幹雄
    • Publisher
      American Mathematical Society, Providence,RI
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Book] Index theorem.1.Translated from the 1999 Japanese original byKauro Ono.Translations of Mathematical Monographs, 235.Iwanami Series in Modern Mathematics.2007

    • Author(s)
      Mikio Furuta
    • Total Pages
      205
    • Publisher
      American Mathematical Society,Providence,RI,
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Book] "Index theorem. 1." Translated from the 1999 Japanese original by Kauro Ono, Translations of Mathematical Monographs, 235. Iwanami Series in Modern Mathematics.2007

    • Author(s)
      Mikio Furuta
    • Publisher
      American Mathematical Society, Providence, RI,
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] The Atiyah-Patodi-Singer Index and Domain-Wall Fermion Dirac Operators2020

    • Author(s)
      H. Fukaya, M. Furuta, S. Matsuo, T. Onogi, S. Yamaguchi and M. Yamashita
    • Journal Title

      Communicatios in Mathematical Physics

      Volume: 380 Issue: 3 Pages: 1295-1311

    • DOI

      10.1007/s00220-020-03806-0

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03620, KAKENHI-PROJECT-17K14186, KAKENHI-PUBLICLY-18H04484, KAKENHI-PROJECT-18H01216, KAKENHI-PLANNED-17H06461, KAKENHI-PROJECT-15K05054, KAKENHI-ORGANIZER-17H06460
  • [Journal Article] A physicist-friendly reformulation of the Atiyah-Patodi-Singer index and its mathematical justification2019

    • Author(s)
      Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo, Tetsuya Onogi, Satoshi Yamaguchi, Mayuko Yamashita
    • Journal Title

      PoS LATTICE2019

      Volume: 61 Pages: 061-061

    • DOI

      10.22323/1.363.0061

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-ORGANIZER-17H06460
  • [Journal Article] Torus Fibrations and Localization of Index II2014

    • Author(s)
      H. Fujita, M.Furuta and T.Yoshida
    • Journal Title

      Communications in Mathematical Physics

      Volume: 326 Issue: 3 Pages: 585-633

    • DOI

      10.1007/s00220-014-1890-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740059, KAKENHI-PROJECT-24340011, KAKENHI-PROJECT-24540095
  • [Journal Article] Torus Fibrations and Localization of Index III2014

    • Author(s)
      H. Fujita, M.Furuta and T.Yoshida
    • Journal Title

      Communications in Mathematical Physics

      Volume: 327 Issue: 3 Pages: 665-689

    • DOI

      10.1007/s00220-014-2039-4

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740059, KAKENHI-PROJECT-24340011, KAKENHI-PROJECT-24540095
  • [Journal Article] Equivariant version of Rochlin-type congruences2013

    • Author(s)
      M. Furuta and Y. Kametani
    • Journal Title

      Journal of The Mathematical Society of Japan

      Volume: (in press)

    • NAID

      130003394353

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Journal Article] Torus fibrations and localization of index I-polarization and acyclic fibrations2010

    • Author(s)
      H.Fujita, M.Furuta, T.Yoshi
    • Journal Title

      J.Math.Sci.Univ.Tokyo

      Volume: 17 Pages: 1-26

    • NAID

      120006906056

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Torus fibrations and localization of index III-equivariant version and its applications-2010

    • Author(s)
      Hajime Fujita, Mikio Furuta, Takahiko Yoshida
    • Journal Title

      UTMS preprint series

      Volume: 11 Pages: 1-25

    • Data Source
      KAKENHI-PROJECT-21840045
  • [Journal Article] Torus fibrations and localization of index III-equivariant version and its applications-2010

    • Author(s)
      Hajime Fujita, Mikio Furuta, Takahiko Yoshida
    • Journal Title

      math.DG/arXiv 1008(preprint)

      Pages: 5007-5007

    • Data Source
      KAKENHI-PROJECT-21840045
  • [Journal Article] Torus fibrations and localization of index I -Polarization and acyclic fibrations-2010

    • Author(s)
      Hajime Fujita, Mikio Furuta, Takahiko Yoshida
    • Journal Title

      Journal of Mathematical Sciences, The University of Tokyo

      Volume: 17 Pages: 1-26

    • NAID

      120006906056

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21840045
  • [Journal Article] Torus fibrations and localization of index I-polarization and acyclic fibrations2010

    • Author(s)
      Fujita, Hajime ; Furuta, Mikio ; Yoshida, Takahiko
    • Journal Title

      J. Math. Sci. Univ.

      Volume: no.1 Pages: 17-17

    • NAID

      120006906056

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Torus fibrations and localization of index I2010

    • Author(s)
      H. Fujita, M. Furuta, T. Yoshida
    • Journal Title

      J.Math.Sci.Univ.Tokyo. (to appear )

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Torus fibrations and localization of index I -Polarization and acyclic fibrations-2010

    • Author(s)
      Hajime Fujita, Mikio Furuta, Takahiko Yoshida
    • Journal Title

      Journal of Mathematical Sciences, The University of Tokyo Vol.17

      Pages: 1-26

    • NAID

      120006906056

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21840045
  • [Journal Article] Torus fibrations and localization of index II. Local index for acyclic compatible system2009

    • Author(s)
      Hajime Fujita, Mikio Furuta, Takahiko Yoshida
    • Journal Title

      math.DG/arXiv (preprint)

      Pages: 910-358

    • Data Source
      KAKENHI-PROJECT-21840045
  • [Journal Article] Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants2007

    • Author(s)
      Furuta, Mikio ; Kametani, Yukio ; Minami, Norihiko
    • Journal Title

      Proceedings of the Nishida Fest(Kinosaki 2003)

      Volume: 10 Pages: 147-154

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants2007

    • Author(s)
      Mikio, Furuta, Yukio, Kametani, Norihiko, Minami
    • Journal Title

      Geometry & Topology Monographs 10

      Pages: 147-154

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten Invariants2007

    • Author(s)
      Mikio Furuta, Yukio Kametani, Hirofumi Matsue, Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs 10

      Pages: 155-166

    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] Nilpotency of the Bauer-Furuta stable. homotopy Seiberg-Witten invariants2007

    • Author(s)
      Mikio Furuta, Yukio Kametani, and Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs 10

      Pages: 147-154

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten Invariants2007

    • Author(s)
      Mikio, Furuta, Yukio, Kametani, Hirofumi, Matsue, Norihiko, Minami
    • Journal Title

      Geometry & Topology Monographs 10

      Pages: 155-166

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants2007

    • Author(s)
      Mikio Furuta, Yukio Kametani, Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs 10

      Pages: 147-154

    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants2007

    • Author(s)
      M.Furuta, Y.Kametani, N.Minami
    • Journal Title

      Geometry and Topology Monographs 10

      Pages: 147-154

    • Data Source
      KAKENHI-PROJECT-16654010
  • [Journal Article] Hilpotency of the Bauer-Furata stable homotopy seiberg-Witten invariants2007

    • Author(s)
      FURUTA, Mikio, Kametani Minami
    • Journal Title

      Geometry and Topology Monographs 10

      Pages: 147-154

    • Data Source
      KAKENHI-PROJECT-16204005
  • [Journal Article] Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants2007

    • Author(s)
      Furuta, Mikio ; Kametani, Yukio ; Matsue, Hirofumi ; Minami, Norihiko
    • Journal Title

      Proceedings of the Nishida Fest(Kinosaki 2003)

      Volume: 10 Pages: 155-166

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Journal Article] Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants2007

    • Author(s)
      M.Furuta, Y.Kametani, H.Matsue, N.Minami
    • Journal Title

      Geometry and Topology Monographs 10

      Pages: 155-166

    • Data Source
      KAKENHI-PROJECT-16654010
  • [Journal Article] Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants2007

    • Author(s)
      Mikio FURUTA, Kametani, Minami
    • Journal Title

      Geometry and Topology Monographs 10

      Pages: 147-154

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16204005
  • [Journal Article] Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invarianis2007

    • Author(s)
      Mikio Furuta, Yukio Kametani, and Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs 10

      Pages: 147-154

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten Invariants2007

    • Author(s)
      Mikio Furuta, Yukio Kametani, Hirofumi Matsue, and Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs 10

      Pages: 155-166

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants2006

    • Author(s)
      MiKio, Furuta, Yukio, Kametani, Norihiko, Minami
    • Journal Title

      Geometry & Topology Monographs 10

      Pages: 265-272

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540094
  • [Journal Article] Nilpotency of the Bauer-furuta stable homotopy Seiberg-witten invariants2006

    • Author(s)
      Mikio Furuta, Yukio Kametani and Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs 10

      Pages: 265-272

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540094
  • [Journal Article] Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants2006

    • Author(s)
      M.Furuta, Y.Kametani, N.Minami
    • Journal Title

      Geom. Topol. Monogr. 10

      Pages: 265-272

    • Data Source
      KAKENHI-PROJECT-18540094
  • [Journal Article] Homotopy theoretic considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants2006

    • Author(s)
      Mikio Furuta, Yukio Kametani and Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs 10

      Pages: 153-164

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540094
  • [Journal Article] Homotopy theoretic considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants2006

    • Author(s)
      MiKio, Furuta, Yukio, Kametani, Norihiko, Minami
    • Journal Title

      Geometry & Topology Monographs 10

      Pages: 153-164

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540094
  • [Journal Article] Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants2006

    • Author(s)
      M.Furuta, Y.Kametani, N.Minami
    • Journal Title

      Geom. Topol. Monogr. 10

      Pages: 153-164

    • Data Source
      KAKENHI-PROJECT-18540094
  • [Journal Article] トポロジーとその「応用」の可能性2005

    • Author(s)
      古田幹雄
    • Journal Title

      応用数理 Vol.15

      Pages: 49-52

    • NAID

      110001888936

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] A stable cohomotopy refinement of Seiberg-Witten invariants.2004

    • Author(s)
      Stefan, Bauer, Mikio, Furuta
    • Journal Title

      Invent. Math 155

      Pages: 1-19

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] A stable cohomotopy refinement of Seiberg-Witten invariant I2004

    • Author(s)
      S.Bauer, M.Furuta
    • Journal Title

      Invent.Math. 155

      Pages: 1-19

    • Data Source
      KAKENHI-PROJECT-16654010
  • [Journal Article] A stable cohomotopy refinement of Seiberg-Witten invariants2004

    • Author(s)
      Stefan Bauer, Mikio Furuta
    • Journal Title

      Invent.Math. 155

      Pages: 1-19

    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] A stable cohomotopy refinement of Seiberg-Witten invariants2004

    • Author(s)
      FURUTA, Mikio, Bauer
    • Journal Title

      Invent.Math 155

      Pages: 1-19

    • Data Source
      KAKENHI-PROJECT-16204005
  • [Journal Article] A stable cohomotopy refinement of Seiberg-Witten invariants.2004

    • Author(s)
      Stefan Bauer and Mikio Furuta
    • Journal Title

      Invent. Math. 155

      Pages: 1-19

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten Invariants

    • Author(s)
      Mikio Furuta, Yukio Kametani, Hirofumi Matsue, Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs (印刷中)

    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

    • Author(s)
      Mikio Furuta, Yukio Kametani, Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540079
  • [Journal Article] Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten Invariants

    • Author(s)
      Mikio Furuta, Yukio Kametani, Hirofumi Matsue, Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs (To appear)(印刷中)(未定)

    • Data Source
      KAKENHI-PROJECT-16540079
  • [Journal Article] Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten Invariants

    • Author(s)
      Mikio Furuta, Yukio Kametani, Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs (印刷中)

    • Data Source
      KAKENHI-PROJECT-16340015
  • [Journal Article] Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

    • Author(s)
      Mikio Furuta, Yukio Kametani, Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs (To appear)(印刷中)(未定)

    • Data Source
      KAKENHI-PROJECT-16540079
  • [Journal Article] Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

    • Author(s)
      M.Furuta, Y.Kametani, H.Matsue, N.Minami
    • Journal Title

      Geometry and Topology Monographs

    • Data Source
      KAKENHI-PROJECT-16654010
  • [Journal Article] Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

    • Author(s)
      Mikio Furuta, Yukio Kametani, Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540079
  • [Journal Article] Homotopy theoretical considerations of the Bauer-Furuta Stable homotopy Seiberg-Witten Invariants

    • Author(s)
      Mikio Furuta, Yukio Kametani, Hirofumi Matsue, Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540079
  • [Journal Article] Homotopy theoretical considerations of the Bauer-Furuta Stable homotopy Seiberg-Witten Invariants

    • Author(s)
      Mikio Furuta, Yukio Kametani, Hirofumi Matsue, Norihiko Minami
    • Journal Title

      Geometry & Topology Monographs (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540079
  • [Journal Article] Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten in variants

    • Author(s)
      M.Furuta, Y.Kametani, N.Minami
    • Journal Title

      Geometry and Topology Monographs

    • Data Source
      KAKENHI-PROJECT-16654010
  • [Presentation] Finite dimensional approximations and Floer homotopy types2022

    • Author(s)
      古田幹雄
    • Organizer
      Intelligence of Low-dimensional Topology
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K21830
  • [Presentation] 幾何学における有限次元近似と指数定理2021

    • Author(s)
      古田幹雄
    • Organizer
      日本物理学会第76回年次大会 共催シンポジウム「次世代物質探索のための離散幾何学」
    • Data Source
      KAKENHI-ORGANIZER-17H06460
  • [Presentation] Index of the Wilson-Dirac operator revisited: a discrete version of Dirac operator on a finite lattice2020

    • Author(s)
      古田 幹雄
    • Organizer
      理研 iTHEMS Math Seminar
    • Invited
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] トーラス上のDirac作用素の正方格子による有限次元近似2020

    • Author(s)
      古田幹雄
    • Organizer
      Summer School 数理物理 2020
    • Invited
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] 「物理屋でもわかる Atiyah-Patodi-Singer 指数定理」の数学的証明2019

    • Author(s)
      深谷 英則, 古田 幹雄, 松尾 信一郎, 大野木 哲也, 山口 哲, 山下 真由子
    • Organizer
      日本物理学会 第 74 回年次大会
    • Data Source
      KAKENHI-ORGANIZER-17H06460
  • [Presentation] The Atiyah-Singer index theorem and domain walls2019

    • Author(s)
      Mikio Furuta
    • Organizer
      Variety and universality of bulk-edge correspondence in topological phases
    • Int'l Joint Research
    • Data Source
      KAKENHI-ORGANIZER-17H06460
  • [Presentation] The Atiyah-Patodi-Singer index theorem and domain walls2019

    • Author(s)
      Furuta Mikio
    • Organizer
      International Molecule-type Workshop Frontiers in Lattice QCD and related topics, Yukawa Institute for Theoretical Physics, Kyoto University
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] The Atiyah-Patodi-Singer index theorem and domain walls2019

    • Author(s)
      Furuta Mikio
    • Organizer
      MATERIALS 56 RESEARCH MEETING 2019 Materials Innovation for Sustainable Development Goals, YOKOHAMA SYMPOSIA
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] Atiyah-Patodi-Singer index theorem and domain walls2019

    • Author(s)
      古田 幹雄
    • Organizer
      Frontiers in Lattice QCD and related topics 2019
    • Int'l Joint Research
    • Data Source
      KAKENHI-ORGANIZER-17H06460
  • [Presentation] The Atiyah-Patodi-Singer index theorem and domain walls2018

    • Author(s)
      古田幹雄
    • Organizer
      BEC2018X Variety and universality of bulk-edge correspondence in topological phases: From solid state physics to transdisciplinary concepts, Tsukuba University
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] A (3+1)-dimensional TQFT with TRS-like symmetry2018

    • Author(s)
      古田幹雄
    • Organizer
      Variety and universality of bulk-edge correspondence in topological phases, University of Tsukuba
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] Towards topological frameworks describing interacting systems on non-compact manifolds2018

    • Author(s)
      Mikio Furuta
    • Organizer
      新学術領域「次世代物質探索のための離散幾何学」キックオフワークショップ
    • Int'l Joint Research
    • Data Source
      KAKENHI-ORGANIZER-17H06460
  • [Presentation] Pin(2)-Seiberg-Witten Floer functor on homology 3-spheres2017

    • Author(s)
      古田幹雄
    • Organizer
      Mathematical Aspects of Topological Phases of Matter and Quantum Computing, AIMR
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PLANNED-17H06461
  • [Presentation] Seiberg-Witten不変量と有限次元近似」2016

    • Author(s)
      古田幹雄
    • Organizer
      , 第 11 回代数・解析・幾何学セミナー
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2016-02-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] Topological Invariants and Partial Differential Equations2016

    • Author(s)
      古田幹雄
    • Organizer
      The AIMR International Symposium 2016
    • Place of Presentation
      東北大学AIMR
    • Year and Date
      2016-02-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] An introduction to Seiberg-Witten equations2016

    • Author(s)
      古田幹雄
    • Organizer
      Berkeley-Tokyo Winter School "Geometry, Topology and Representation Theory
    • Place of Presentation
      米国 UC Berkeley
    • Year and Date
      2016-02-08
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] トポロジカル不変量と偏微分方程式2015

    • Author(s)
      古田幹雄
    • Organizer
      第1回 トポロジーが紡ぐ物質科学のフロンティア 領域研究会
    • Place of Presentation
      京都大学
    • Year and Date
      2015-12-11
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] トポロジカル絶縁体 -バルク・エッジ対応の数学2015

    • Author(s)
      古田幹雄
    • Organizer
      日本女子大学理学セミナー
    • Place of Presentation
      日本女子大学
    • Year and Date
      2015-10-30
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] Yang-Mills theory / Seiberg-Witten theory2015

    • Author(s)
      古田幹雄
    • Organizer
      2015 SNU 4-Manifolds Workshop
    • Place of Presentation
      韓国 Oak Valley
    • Year and Date
      2015-12-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] 10/8-type inequalities and TQFT" ,2015

    • Author(s)
      古田幹雄
    • Organizer
      Trends in Modern Geometry & the 10th Pacific Rim Complex Geometry Conference
    • Place of Presentation
      東京大学
    • Year and Date
      2015-07-27
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] Bott periodicity and the bulk-edge correspondence", International Workshop :2015

    • Author(s)
      古田幹雄
    • Organizer
      Mathematical Approach to Topological Phases in Spintronics,
    • Place of Presentation
      東北大学
    • Year and Date
      2015-10-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] 10/8-type inequalities and TQFT”,,, October 2015(豪)2015

    • Author(s)
      古田幹雄
    • Organizer
      IGA/AMSI Workshop “Australia-Japan Geometry, Analysis and their Applications”
    • Place of Presentation
      オーストラリア Adelaide University
    • Year and Date
      2015-10-20
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] バルクエッジ対応とBott周期性2014

    • Author(s)
      古田幹雄
    • Organizer
      幾何学セミナー・トポロジー金曜セミナー
    • Place of Presentation
      九州大学 大学院数理学研究院
    • Year and Date
      2014-12-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] The perturbation of the Seiberg-Witten equations revisited2014

    • Author(s)
      M. Furuta
    • Organizer
      Workshop on Topology and Invariants of 4-Manifolds
    • Place of Presentation
      SCGP, 米国
    • Year and Date
      2014-08-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] ゲージ理論のいくつかの側面2014

    • Author(s)
      古田幹雄
    • Organizer
      第61回トポロジーシンポジウム
    • Place of Presentation
      東北大学
    • Year and Date
      2014-07-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] An introduction to gauge theories2012

    • Author(s)
      M. Furuta
    • Organizer
      SNU-KIAS Topology Winter School
    • Place of Presentation
      韓国 Muju(招待講演)
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] 局所化とトーラス2010

    • Author(s)
      古田幹雄
    • Organizer
      日本数学解トポロジー分科会特別講演
    • Place of Presentation
      慶應大学
    • Year and Date
      2010-03-24
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Presentation] 局所化とトーラス束2010

    • Author(s)
      古田幹雄
    • Organizer
      日本数学会年会トポロジー分科会
    • Place of Presentation
      慶應大学
    • Year and Date
      2010-03-24
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Presentation] 局所化とトーラス束2010

    • Author(s)
      古田幹雄
    • Organizer
      2010日本数学会年会
    • Place of Presentation
      慶応義塾大学
    • Year and Date
      2010-03-24
    • Data Source
      KAKENHI-PROJECT-19204003
  • [Presentation] How to count singular Bohr-Sommerfeld orbits2008

    • Author(s)
      古田 幹雄
    • Organizer
      4-Manifolds and Relsted-Topics Seminar
    • Place of Presentation
      Dalian University of Technology
    • Year and Date
      2008-03-27
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540094
  • [Presentation] Torus fibration and localization of Riemann-Roch number2008

    • Author(s)
      M. Furuta
    • Organizer
      Gauge theory and ToPology seminar
    • Place of Presentation
      Harvard University
    • Year and Date
      2008-10-10
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Presentation] Torus fibration and localization of Riemann-Roch number2008

    • Author(s)
      M. Furuta
    • Organizer
      Gauge theory and Topology seminar
    • Place of Presentation
      Harvard University
    • Year and Date
      2008-10-10
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Presentation] How to count singular Bohr-Sommerfeld orbits2008

    • Author(s)
      Mikio, Furuta
    • Organizer
      4-Manifolds and Related Topics Seminar
    • Place of Presentation
      Dalian University of Technology
    • Year and Date
      2008-03-27
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540094
  • [Presentation] Pontrjagin-Thom construction and nor-linear Fredholm theories2007

    • Author(s)
      古田幹雄
    • Organizer
      Stefan Banach International Mathematical Center
    • Place of Presentation
      Bedlewo(ポーランド)
    • Year and Date
      2007-06-19
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Presentation] 面積と分数,2007

    • Author(s)
      古田 幹雄
    • Organizer
      2007年度 高校生のための現代数学講座
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2007-07-21
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Presentation] Pontrjagin-Thom construction and nor-linear Fredholm theories2007

    • Author(s)
      古田 幹雄
    • Organizer
      Algebraic Topology:Old and New-M.M.Postikov Memorial, Poland Conference, Stefan Banach International Mathematical Center,
    • Place of Presentation
      Bedlewo(ポーランド)
    • Year and Date
      2007-06-19
    • Data Source
      KAKENHI-PROJECT-19340015
  • [Presentation] 球の体積と表面積2007

    • Author(s)
      古田 幹雄
    • Organizer
      2007年度 高校生のための現代数学講座
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2007-07-28
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Presentation] Pontrjagin-Thom construction in non-linear Fredholom Theories2006

    • Author(s)
      Mikio, Furuta
    • Organizer
      Third Yamabe Memorial Symposium
    • Place of Presentation
      University of Minnesota
    • Year and Date
      2006-09-15
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540094
  • [Presentation] Pontrjagin-thom construction in non-linear Fredholom theories2006

    • Author(s)
      古田 幹雄
    • Organizer
      Third Yamabe Memorial Symposium
    • Place of Presentation
      University of Minnesota
    • Year and Date
      2006-09-15
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540094
  • [Presentation] 4次元スピン多様体のKO特性数2005

    • Author(s)
      古田 幹雄
    • Organizer
      大岡山談話会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2005-06-20
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Presentation] KO characteristic numbers of spin 4 manifolds2005

    • Author(s)
      Mikio, Furuta
    • Organizer
      Ookayama-Danwakai
    • Place of Presentation
      Tokyo Institute of Technology
    • Year and Date
      2005-06-20
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340015
  • [Presentation] A TQFT for spin 4-manifolds associated with Pin(2)-equivariant Seiberg-Witten Floer K-group

    • Author(s)
      M. Furuta
    • Organizer
      the Fourth Tsinghua-Sanya International Mathematics Forum
    • Place of Presentation
      Sanya, (中国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] Seiberg-Witten Floer K cohomology and a 10/8-type inequality for spin 4-manifolds with boundaries

    • Author(s)
      M. Furuta
    • Organizer
      Geometry and topology of smooth 4-manifolds
    • Place of Presentation
      Max Planck Institute for Mathematics, Bonn (ドイツ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] Dirac operators on spin 4-manifolds and mod 2 index

    • Author(s)
      M. Furuta
    • Organizer
      Topological Phases in Spintronics
    • Place of Presentation
      AIMR 東北大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340011
  • [Presentation] Two variants of the 10/8 inequality

    • Author(s)
      M. Furuta
    • Organizer
      Workshop and Conference on the Topology and Invariants of Smooth 4-Manifolds
    • Place of Presentation
      Minneapolis, (米国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24340011
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