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KAMETANI Yukio  亀谷 幸生

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… Alternative Names

亀谷 幸生  カメタニ ユキオ

亀谷 幸夫  カメタニ ユキオ

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Researcher Number 70253581
Other IDs
Affiliation (Current) 2025: 慶應義塾大学, 理工学部(矢上), 准教授
Affiliation (based on the past Project Information) *help 2007 – 2013: Keio University, Faculty of Science and Technology, Associate Professor
2007: Keio University, Faculty of Science and Technology, Asscoiate Professor
2004 – 2006: 慶応義塾大学, 理工学部, 講師
2003 – 2006: 慶應義塾大学, 理工学部, 助教授
2003: 慶應義塾大学, 理工学部, 専任講師 … More
1999 – 2003: 慶應義塾大学, 理工学部, 講師
1999: Topological Geometry, SAGA UNIVERSITY, Research Associate
1999: 慶応大学, 理工学部, 講師
1999: Faculty of Science and Technology, Keio University, Assistant Professor, 理工学部, 講師
1994 – 1998: 佐賀大学, 理工学部, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry
Except Principal Investigator
Geometry / Geometry / Global analysis
Keywords
Principal Investigator
ゲージ理論 / ドナルドソン不変量 / gauge theory / トポロジー / ホモトピー論 / 非可換モノポール方程式 / geometric quantization / 中国 / 国際情報交換 / 幾何学 … More / 幾何的量子化 / homotopy theory / シンプレクティック幾何学 / 共役類 / 局所化 / 指数定理 / 4次元トポロジー / サイバーグ・ウィッテン不変量 / 一般型代数曲面 … More
Except Principal Investigator
指数定理 / 非可換幾何学 / 変形量子化 / 巡回コホモロジー / K理論 / 超弦理論 / 幾何学 / 国際研究者交流 / THE INDEX THEOREM / CYCLIC COHOMOLORY / NONCOMMUTATIVE GEOMETRY / ループ空間 / 接触構造 / 葉層構造 / エータ不変量 / 非可換微分幾何学 / シンプレクティック幾何学 / 変形量子化問題 / ジャーブ / 量子化問題 / 非可換多様体 / Quasi Category / choromatic tower / シンプレクティック多様体 / Gerbe / K-THEORY / スペクトル流 / ポアソン構造 / Seiberg-Witten不変量 / K-theory / K-TEHORY / 特性類 / 佐々木多様体 / deformation quantization / 国際情報交換 / 岩沢理論 / 擬微分作用素 / 非可換ゲージ理論 / ポアソン幾何学 / 双曲多様体 / 無限次元多様体 / ローブレイン / スカラー曲率 / 有限型部分多様体 / Sasakian manifold / Contact structure / Foliation / Eta invariant / Cyclic cohomology / Index Theorem / Non-commutative Geometry / Motif Theory / Homotonical Algebraic Geometry / Seiberg-Witten Invariants / Equivariant Homotopy Theory / Obstruction Theory / Stable Homotopy / Fredholm Universe / Spanier-Whitehead圏 / 4次元多様体 / モチーフ理論 / Homotopical Algebraic Geometry / 同変ホモトピー論 / 障害理論 / 安定ホモトピー / symplectic manifold / topological invariant / hyperbolic manifold / Seifert fibered space / Heegaard splitting / spine / 3-manifold / グラフ / エゴード分解 / 位相不変量 / ザイフェルト多様体 / ヘゴード分解 / スパイン / 3次元多様体 / Loop spaces / cyclic cohomology / quantization problems / Contact geometry / Symmplectic geometry / Noncommutative geometry / Symplectic Geometry / 漸近解析 / Poisson groupoid / Nambu-Jacobi構造 / 積分可能系 / 幾何学的量子化 / 接触多様体 / サイクリックコホモロジー / 接触幾何学 / 非日間微分幾何学 / C^* ALGEBRA / FOLIATION / ETA INVARIANT / SCALAR CURVATURE / C^*環 / SPECTRAL FLOW / Hochshields cohomology / D-brane / Index theorem / groupoids / deformation quantizations / 弦理論 / Painleve equatin / non commutative geometry / Seiberg Witten equatin / Navier-Stokes equatin / ホッホシルトコホモロジー / グループポイド / 変型量子化 / Conformal Geometry / Minimal Submanifold / Spacelike Submanifold / Psudo-Euclidean Geometry / Harmonic Map / Biharmonic Submanifold / Finite Type Submanifold / 平均曲率一定曲面(CFIC) / アレクサンドロフ空間 / スペクトル幾何 / アレクサンドロウ空間 / 指定ユークツカド幾可 / 共形幾可 / スペクトル幾可 / 平均曲率一定曲面 / 部分多様体 / 共形幾何 / 極小曲面 / 空間型部分多様体 / 擬ユークリッド幾何 / 調和写像 / 二重調和部分多様体 / SYMPLECTIC GEOMETRY / spectral flow / Maslov類 / K-理論 / シンプレクティック幾何 / 岩澤理論 / 複素シンプレクティック幾何学 / ディラック構造 / 多国籍 / ベルギー:ベトナム:フランス:オーストラリア / シンプレくティック多様体 / 国際交流アメリカ / 非可換岩沢理論 / 一般幾何学 / T-双対性 / 離散幾何学 / 写像空間 / ディラック作用素 / チャーンクラス / アメリカ / 特性類の理論 / 擬微分作用素の理論 / 無限次元多様体論 / 第2特性類 / チャーンサイモンズ理論 / ウォジスキー留数 / イタリア:中国:アメリカ / Godbillon-Vey不変量 / 位相幾何学 / 位相幾何 / トポロジー / symplectic geometry / Dirac structure / Parabolic geometry / Floer homology / Lie algebroid / イギリス:フランス:ベルギー:中国:コロンビア / 量子コホモロジー / オーストラリア:アメリカ:イタリア / スペクトル理論 / regularization / 中国:スイス:アメリカ / path integral / 固有値問題 / 作用素環 / 量子エルゴード性 / 非可換解析 / 漸近展開理論 / 量子カオス / ランダム行列 / Horikawa surface / simple invariant / コボルディズム / 周期的同相写像 / 計量の共形変形 / 分枝過程 / ファジイ / チョウ形式 / 共形計量 / モジュライ空間 / アレクサンドロフ曲面 / 2重調和部分多様体 Less
  • Research Projects

    (26 results)
  • Research Products

    (28 results)
  • Co-Researchers

    (68 People)
  •  Perspectives for Quantum Differential Geometry

    • Principal Investigator
      Maeda Yoshiaki
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
      Keio University
  •  Geometry of loop spaces: towards index theorem

    • Principal Investigator
      MAEDA Yoshiaki
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Gauge theory and spin 4-manifoldsPrincipal Investigator

    • Principal Investigator
      KAMETANI Yukio
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  gauge theory and homotopy theory

    • Principal Investigator
      FURUTA Mikio
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Noncommutative Geometry and equivariant index theorem for twisted group actions

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics

    • Principal Investigator
      MAEDA Yoshiaki
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Geometric structures on the moduli spaces in gauge theory and its applications to topologyPrincipal Investigator

    • 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
  •  Non-commutative Geometry and Applications of twisted K-theory to Index theorem

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  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 theoryPrincipal Investigator

    • 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
  •  非可換解析を基礎とする非可換微分幾何学の構築と超弦理論への展開

    • Principal Investigator
      前田 吉昭
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      Keio University
  •  Poisson Geometry, Contact Geometry and Quantization Problems

    • Principal Investigator
      MAEDA Yoshiaki
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      KEIO UNIVERSITY
  •  Research on 3-manifolds by combinatorial and constructive methods

    • Principal Investigator
      ISHLI Ippei
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  非可換幾何学に関連した数理物理に関する日英共同プロジェクトの立案企画

    • Principal Investigator
      MAEDA Yoshiaki
    • Project Period (FY)
      2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Study of Non-Commutative Geometry focusing on the Index theorem, and low-dimensional maniflod theory,

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  ゲージ理論と4次元トポロジーPrincipal Investigator

    • Principal Investigator
      亀谷 幸生
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Study of Poisson geometry and its application

    • Principal Investigator
      MAEDA Yoshiaki
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Non-Commutative Geometry and the Spectral Flow Index Theorem

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  ゲージ理論の数学的理論展開と4次元トポロジーへの応用Principal Investigator

    • Principal Investigator
      亀谷 幸生
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  非可換モノポール方程式の3・4次元不変量への応用Principal Investigator

    • Principal Investigator
      亀谷 幸生
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Saga University
  •  The Index Theorem and Analytic Secondary Invariants in Symplectic Geometry

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
      Hokkaido University
  •  The Spectral Geometry on the submanifold of (pseudo-) Euclidean space

    • Principal Investigator
      ISHIKAWA Susumu
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      SAGA UNIVERSITY
  •  多様体上の大域的偏微分方程式の解空間の研究Principal Investigator

    • Principal Investigator
      亀谷 幸生
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Saga University
  •  リーマン多様体の共形変形とスカラー曲率

    • Principal Investigator
      河合 茂生
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saga University
  •  4次元多様体の幾何構造とそのドナルドソン不変量の計算Principal Investigator

    • Principal Investigator
      亀谷 幸生
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Saga University
  •  有限型部分多様体とその周辺領域への応用

    • Principal Investigator
      ISHIKAWA Susumu
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saga University

All 2009 2008 2007 2006 Other

All Journal Article Presentation

  • [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] 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] 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 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] 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, 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 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] 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] 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] 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] 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 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 (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] 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] 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)(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)
      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
  • [Presentation] K-理論と4次元多様体のホモトピー不変量について2009

    • Author(s)
      亀谷幸生
    • Organizer
      Topology from infinite dimensional viewpoint
    • Place of Presentation
      鳥取環境大学
    • Year and Date
      2009-02-25
    • Data Source
      KAKENHI-PROJECT-20540089
  • [Presentation] On homotopy invariants of 4-manifolds2008

    • Author(s)
      Yukio, Kametani
    • 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] On homotopy invariants of 4-manifolds2008

    • Author(s)
      亀谷 幸生
    • 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(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540094
  • [Presentation] 4-manifolds and quadratic forms-On the 10/8-inequality2006

    • Author(s)
      亀谷 幸生
    • Organizer
      Differential Geometry and Symplectic Topology Seminar
    • Place of Presentation
      University of Minnesota
    • Year and Date
      2006-09-12
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540094
  • [Presentation] 4-manifolds ana quadratic forms-On the 10/8-inequality2006

    • Author(s)
      Yukio, kametani
    • Organizer
      Differentiai Geometry and Symplectic Topology Seminar
    • Place of Presentation
      University of Minnesota
    • Year and Date
      2006-09-12
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540094
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