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FUKAYA Kenji  深谷 賢治

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深谷 賢治

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Researcher Number 30165261
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Affiliation (based on the past Project Information) *help 2015: 京都大学, 理学(系)研究科(研究院), 客員教授
2014: 京都大学, 理学(系)研究科(研究院), 教授
2014: 京都大学, 大学院理学研究科, 教授
2013: 京都大学, 理学(系)研究科(研究院), 客員教授
2013: 京都大学, 理学系研究科, 教授 … More
2011 – 2012: 京都大学, 理学(系)研究科(研究院), 教授
2011: 京都大学, 理学研究科, 教授
2007 – 2011: Kyoto University, 大学院・理学研究科, 教授
2009: 京都大学, 理学研究科, 教授
2004 – 2007: 京都大学, 理学研究科, 教授
2006: Kyoto University, Department of Mathematics, Professor, 大学院理学研究科, 教授
1995 – 2005: 京都大学, 大学院・理学研究科, 教授
2002: Kyoto University, Graduate School of Science, Professor, 理学系研究科, 教授
2000 – 2001: Kyoto University, Faculty of Science, Professor, 理学研究科, 教授
1999: 京都大学, 大学院・理学学研究科, 教授
1998: 京都大, 理学研究科, 教授
1998: 京都大学, 大学院理学研究科, 教授
1995 – 1996: 京都大学, 理学研究科, 教授
1994: Kyoto University, Faculty of Science, Professor, 理学部, 教授
1992 – 1993: 東京大学, 大学院・数理科学研究科, 助教授
1992: 東京大学, 数理科学研究科, 助教授
1990 – 1991: University of Tokyo, Faculty of Science, Associate Professor, 理学部, 助教授
1990: 東京大学, 教養学部, 助教授
1988: 東京大学, 教養学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / 代数学・幾何学
Except Principal Investigator
Geometry / Geometry / Algebra / 代数学・幾何学 / Algebra / Global analysis / 解析学 / Mathematical physics/Fundamental condensed matter physics
Keywords
Principal Investigator
シンプレクティック幾何学 / フレアーホモロジー / モジュライ空間 / ラグランジュ部分多様体 / ミラー対称性 / 位相的場の理論 / ホモトピー代数 / Floer homology / ハミルトン系 / ゲージ理論 … More / 弦理論 / シンプレクティック多様体 / Dブレイン / Mirror symmetry / Homotopical Algebra / Symplectic Geometry / String Theory / モース理論 / モ-ス理論 / フレア-ホモロジー / 解析学 / 幾何学 / 超弦理論 / ハミルトン力学系 / 擬正則曲線 / A無限代数 / ノビコフ環 / 非可換幾何学 / 対応 / 概正則曲線 / Hamiltonian dynamical system / Topological field theory / quasi-regular curve / A infinity algebra / Lagrangian sublmanifolds / symplectic topology / 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 / ループ空間 / A無限大構造 / Lagrangian submanifold / Kuranishi map / pseudoholomorphic curve / moduli space / 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 / 非可換トーラス / アーベル多様体 / テータ関数 / 軌道体 / 倉西写像 / シンプレクティック幾何 / Whitehead Torsion / Morse theory / Sympletic geometry / Gauge theory / Hamiltonian system / Topological Field Theory / 周期軌道 / 概複素曲線 / 有理ホモトピー型 / ホワイトヘッドのねじれ / Kleiniaangroup / Hamiltoniansystem / Hyperbolic Geometry / Geometric Grouptheory / Gauge Theory / アレクサンドロフ空間 / 量子群 / クライン群 / 双曲幾何学 / 幾何学的群論 / 非線形微分方程式 / 代数学 / 深谷圏 / 仮想ホモロジー類 / 代数幾何学 / 複素幾何学 / 位相幾何学 / 微分幾何学 / 素粒子論 / 数理物理 / トポロジー / ホモロジー代数 / 特異点理論 / カラビヤウ多様体 / フレア-ホモロジ- / ミラ-対称性 / 量子コホモロジー / トーリック多様体 / シンプレクティク幾何 / 倉西構造 / 変形理論 / ファインマン図 / 無限非可積分型 / ヤンミルズ場 / リーマン幾何学 / 実解析 / 力学系 / ラングランジュ部分多様体 / チャーンサイモンズ摂動理論 / アティヤーフレアー予想 / リーマン多様体の崩壊 / ハウスドルフ収束 / スペクトル系列 / 高次元カテゴリー / ハミルトン同相写像 / シンプレティック幾何学 / ラグランジアン / フレーアーホモロジー / タイヒミューラー空間 / 共型場の理論 / ゲージー場 … More
Except Principal Investigator
分類空間 / シンプレクティック幾何 / モジュライ空間 / Floer homology / 特異点 / 接触構造 / Floerホモロジー / Symplectic geometry / ラグランジュ部分多様体 / ゲージ群 / 変形理論 / 力学系 / 単純特異点 / Lagrangian submanifold / contact structure / K-理論 / 楕円コホモロジー / 形式群 / ホモトピー論 / ミラー対称性予想 / フレアーコホモロジー / 自由ループ群 / カテゴリー / 局所化 / ホモトピー代数 / 量子コホモロジー / A_∞代数 / モノポール方程式 / gauge group / ラグランジアン部分多様体 / 極小曲面 / 等質空間 / 幾何学的変分問題 / 幾何構造 / 表現論 / 多様体 / ミラー対称性 / 複素力学系 / 可積分系 / 自由ループ空間 / シンプレクティック構造 / シンプレクティック幾何学 / K理論 / 超弦理論 / ゲージ理論 / 写像類群 / 共形場理論 / 大域解析学 / K-theory / モラバK理論 / A_∞ algebra / シンプレクティックフィリング / 単純楕円型特異点 / large degrees of freedom / chaos / complex dynamics / bifurcation / dynamical system / 特異性 / 無限次元力学系 / 位相的方法 / 不変測度 / 大自由度 / カオス / 分岐 / 大域的構造 / ホモトピー型 / Painleve equations / パンルベ方程式 / symplectic structure / 正則曲線 / フロアー・ホモロジー / ラグランジアン / アーノルド予想 / フレアーホモロジー / ラグランジアン多様体 / Flore homology / Conley homology / 随伴作用 / 微分方程式 / singularity / 変形 / 無限次元リー群 / Classifying space / Hopf algebra / ホップ代数 / 保型形式 / 微分幾何学 / ベクトル束 / モ-スホモトピー / 量子化 / Integrable system / Global analysis / 調和写像 / リーマン幾何学 / 楕円種数 / 数理物理 / 超ケーラー多様体 / 一般化された幾何構造 / 楕円コホモロジー論 / Morava K-理論 / 単体集合 / 対称群 / フレアー理論 / トーリック多様体 / 擬準同型写像 / トポロジー / リー群 / 自己ホモトピー群 / Floer cohomology / quantum cohomology / Gromov-Witten invariants / 擬正則曲線 / symplectic 構造 / ディオファントス幾何 / アレクサンドロフ空間 / Conley index / グロモフ・ウイッテン不変量 / 結び目 / 離散群 / 数論幾何 / 3次元多様体 / 無限可積分系 / homotopy type / linear group / cohomology / symmetric group / simplicial set / formal group / 分類空間空間 / 亜群 / 高次元カテゴリー / 線形群 / コホモロジー / Mirror symmetry / Geometric Langlands correspondence / Irregular singularities / Riemann-Hilbert correspondences / Moduli of representations / Moduli of parabolic connections / Symplectic singularities / ヒッグス場のモジュライ空間 / Stokes現象 / シンプレクテック特異点解消 / 幾何学的ラングランズ対応 / 不確定特異点 / リーマン・ヒルベルト対応 / 基本群の表現のモジュライ空間 / 放物接続のモジュライ空間 / シンプレクテック特異点 / generalized structure / Moduli spaces / Deformations / geometric structure / Spin(7) structure / G_2 structure / hyperK"ahler structure / Calabi-Yau structure / Spin(7)多様体 / シンプレクティク多様体 / G_2多様体 / カラビ・ヤオ多様体 / カラビーヤオ構造 / Spin(7)構造 / G_2構造 / 超ケーラー構造 / カラビ-ヤオ構造 / characteristic class / exceptional group / nilpotent group / principal bundle / classical group / self homotopy set / KO理論 / e-不変量 / 随伴束 / LS category / nilpotency / 巾零群 / 例外リー群 / 特性類 / 例外群 / 中零群 / 主東 / 古典群 / 自己ホモトピー集合 / obstruction theory / deformation theory / mirror symmetry / フィリング / ラクランジュ部分多様体 / 正規曲面特異点 / ラグランジェ部分多様性 / フレアホモロジー / フレアコホモロジー / シンブレクティック幾何 / 障害理論 / ergodic theory / hyperbolicity / global structure / 複雑系 / 摂動 / カオス遍歴 / 特異構造 / 大自由度系 / エルゴード理論 / 双曲性 / pseudo holomorphic curve / 孤立特異点 / フロアー・コホモロジー / category / homotopy group / cohomnmgv / モラバK-理論 / コホモロジー論 / コボルディズム理論 / 誘導指標 / スティーンロッド代数 / コホモロジー作用素 / ホモトピー群 / コホモロジー群 / Moduli space / Rational point / Diophantine Geometry / Logarithmic Geometry / サイクル / 算術的多様体 / 代数スタッフ / モジュラル空間 / ピカール群 / 安定曲線 / 数論的関数体 / ゼータ関数 / 数学的函数体 / モジュラー的高さ / 数論的多様体 / ゼータ函数 / 代数的サイクル / 有理点 / 対数幾何学 / Monopole equations / pseudo holomorphic map / Simple singularity / Mirror symmetry Conjecture / A∞代数 / 擬正則写像 / invariant measure / topological property / giobal structure / ヘテロクリニック軌道 / 特異摂動 / 非線型 / 位相的性質 / homotopical algebra / Cherm number / homotopy associative / homotopyset / localization / infinite dimensional Lie group / 非可換代数幾何学 / スタック / 無次元リー群 / Chern数 / ホモトピー結合性 / ホモトピー集合 / Moduli spaces of Vector Bundles / Okamoto-Painleve pairs / Calabi-Yau manifolds / Homological Mirror Symmetry / Gopakumar-Vafa conjecture / BPS invariants / アファインワイル群 / 小平・スペンサー理論 / Verlinde公式 / 弦双対性 / ベクトル束のモジュライ空間 / 初期値空間 / 有理楕円曲面 / グロモフ-ウイッテン不変量 / カラビ-ヤウ多様体 / BPS不変量 / ホモロジーMirror対称性 / Gauge Theory / Sinqularity Theory / Three Dimensional Manifolds / General Topology / Mapping Class Groups / Foliations / Topology / Algebraic Topology / 特異点理論 / 3次元多様体論 / 一般位相 / 葉層構造論 / 位相幾何学 / 代数的トポロジー / simple singularity / A_∞-代数 / ミルナー・ファイバー / シンプレクティック・フィリング / フロアーホモロジー / simple singularities / Arnold conjecture / Langragian submanifold / monopole equation / 接触幾何 / Hopf space / adjoint representation / free loop group / Hopf空間 / Singularities / Group theory / Class field theory / Combinatorics / Mathematical science / 幾何解析 / 過剰決定系 / CR幾何学 / 組み合わせ論 / 特異点論 / 群論 / 類体論 / 組み合せ論 / 数理科学 / exceptional line / boundedness / simple complex / reflexive sheaf / Bogomolov's inequality / moduli / stable sheaf / stable vector bundle / Bogomolovの不等式 / Bogomolov不等式 / 代数的空間 / 第2種例外直線 / 有界性 / 単純な複体 / 反射的加群 / ボゴモロフの不等式 / モデュライ / 安定層 / 安定ベクトル束 / McKay correspondence / deformation / operator algebra / discrete group / Novikov Conjecture / McKay対応 / 作用素環 / ノビコフ予想 / Seiberg-Witten invariant / Gromov-Witten invariant / J-holomorphic curves / Symplectic structure / Symplectic 構造 / Seiberg-Witten 不変量 / Gromov-Witten 不変量 / Floer ホモロジー / Seiberg-Wittem不変量 / Gromov-Witten不変量 / J-正則曲線 / symplectic構造 / homoclinic orbits / moduli spaces / gauge groups / free loop groups / infinite dimensional Lie groups / homoclinic orbit / Elliptic genera / Formal group low / Modular-form / Elliptic curve / Homotopy theory / Elliptic cohomology / 楕円曲線 / Lubin-Tate形式群 / 複素表現 / Hopf代数 / Differential Geometry / manifold / シンプレクテイック幾何学 / vector bmdle / conformal field thery / Quantun homotopy type / Morse homotopy / Moise function / K-theor / free loop space / 量子群 / 代数ベクトル束 / Mose函数 / モジュライ室間 / 自由ループ室間 / 共形場の理論 / 量子ホモトピー型 / モ-ス函数 / MORSE THEORY / DYNAMICAL SYSTEMS / GEOMETRIC VARIATIONAL PROBLEM / 偏微分方程式 / 測地線 / 大域変分法 / モース関数 / 物理幾何学 / シンプレクティク幾何学 / 危点 / モ-ス理論 / 幾何学的変分法 / Dynamical system / Complex differential geometry / Riemannian geometry / Geometric variational problem / Geometry of manifolds / 巾零幾何学 / 複素微分幾何学 / 多様体の幾何学 / water wave / Riemannian manifold / bifurcation theory / blow-up of solutions / nonlinear heat equation / reaction-diffusion system / 順序保存力学系 / 境界値混合問題 / ラプラス変換 / 楕円型方程式 / 非線型拡散方程式 / 非線型反応拡散系 / 多様体上のベキレイ構造 / 表面張力方程式 / 水の波 / 分岐理論 / 解の爆発 / 非線型熱方程式 / 反応・拡散系 / 随伴直線束 / 断面種数 / 偏極多様体 / 射影多様体 / バルク変形 / スペクトラル不変量 / 深谷圏 / 反シンプレクティック対合 / フロベニウス多様体構造 / 仮想基本類 / 倉西構造 / オリエンティフォールド / 代数学 / 超対称性 / 場の量子論 / Dブレーン / 双対性 / 幾何学 / 素粒子論 / ポアソン多様体 / 一般化された複素多様体 / アインシュタインー佐々木多様体 / 一般化された複素構造 / アインシュタイン-佐々木多様体 / リッチ平坦計量 / ポアソン構造 / 一般化されたケーラー構造 / 双エルミート構造 / カラビーヤオ多様体 / 無限ループ空間 / 指標 / シンプレクティック充填 / シンプレクティック充墳 / non-displaceable / トーリック退化 / フロベニウス構造 / ランダウ・ギンズブルグ模型 / ポテンシャル関数 / ハミルトン微分同相群 / トーリックトポロジー / 群 / 位相幾何 / モノドロミー保存変形 / 高次元代数多様体 / 極小モデル理論 / 量子コホモロジーとミラー対称性 / 相空間 / パンルヴェ方程式 / エタールホモトピー / ホモトピー可換 / 有理ホモトピー / 高次のホモトピー結合性 / Samelson積 / 自己ホモトピ-群 / 自由ル-プ空間 / 高次のホモトピ-結合性 / ゲ-ジ群 / リ-群 / ベキ零群 / 写像空間 / ファイバーワイズトポロジーL.Sカテゴリー / Hamiltonian diffeomorphisms / A-infinity algebra / pseudo-holomorphic curves / toric manifolds / A-infinity structure / flux conjecture / Lagrangian submanifolds / Floer theory / A-無限大構造 / 概正則曲線 / Floer理論 / A_∞-構造 / Lagrange 部分多様体 / Floer 理論 / symplectic geometry / Dirac structure / deformation quantization / Parabolic geometry / Lie algebroid / 指数定理 / 非可換微分幾何学 / イギリス:フランス:ベルギー:中国:コロンビア / 国際情報交換 / 岩沢理論 / オーストラリア:アメリカ:イタリア / スペクトル理論 / 擬微分作用素 / regularization / 中国:スイス:アメリカ / 国際研究者交流 / 非可換ゲージ理論 / ポアソン幾何学 / 変形量子化問題 / 量子化問題 / ジャーブ / 変形量子化 / 非可換幾何学 / 対数スキーム / 小林・落合の定理 / 降下定理 / 剛性定理 / 対数幾何 / モジュライ / 藤田の近似定理 / 算術的極限予想 / 算術的体積関数 / 双有理アラケロフ幾何 / 双有理幾何 / アラケロフ幾何 / 代数幾何学 / 変分収束理論 / ソウル定理 / リッチ曲率 / 本質的被覆 / 退化 / 崩壊理論 / スペクトル逆問題 / 軌道体 / リッチ流 / 崩壊 / リーマン多様体 / Bott周期性定理 / ヱタールホモトピー / 圏 / シンプレクテック幾何学的 / 21世紀の幾何学 / カラビ・ヤウ多様体 / Mirror 対称性 / モデュライ空間 / 位相場の理論 / 鏡多様体 / 芽形場理論 / 代数多様体 / 不変量 / 3・4次元多様体 / 基本群 / 無限変換群 / 葉層構造 / 微分同相群 / 位相場理論 / Casson不変量 / Jones-Witten不変量 / リーマン面の写像類群 / リ-マン面 / 曲面写像類 / モノドロミ- / 特異ファイバ- / 測地線論 / スペクトル幾何学 Less
  • Research Projects

    (59 results)
  • Research Products

    (175 results)
  • Co-Researchers

    (199 People)
  •  Proof of Homological Mirror SymmetryPrincipal Investigator

    • Principal Investigator
      Fukaya Kenji
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  非線形方程式のモジュライ空間の幾何学的応用Principal Investigator

    • Principal Investigator
      深谷 賢治
    • Project Period (FY)
      2011
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Floer theory, mirror symmetry conjecture and applications to symplectic geometry

    • Principal Investigator
      OHTA Hiroshi
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Collaboration of Mathematics and Physics for Superstring Compactifications

    • Principal Investigator
      HORI Kentaro
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Mathematical physics/Fundamental condensed matter physics
    • Research Institution
      The University of Tokyo
  •  New developments and interaction between Algebraic Geometry and Integrable Systems

    • Principal Investigator
      SAITO Masa-hiko (SAITO Masahiko)
    • Project Period (FY)
      2007 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Algebra
    • Research Institution
      Kobe University
  •  Overall study of topology

    • Principal Investigator
      MASUDA Mikiya
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
  •  Pseudo-holomorphic map and Floer cohomology and their applications to symplectic geometry

    • Principal Investigator
      OHTA Hiroshi
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Higher dimensional category and its applications

    • Principal Investigator
      NISHIDA Goro
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Geometrtic structures defined by differential forms (Topological Calibrations)

    • Principal Investigator
      GOTO Ryushi
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  New development of geometry based on topological field theoryPrincipal Investigator

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      2006 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Geometry
    • Research Institution
      Kyoto 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
  •  Study on Floer theory and symplectic geometry

    • Principal Investigator
      KAORU Ono
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Research on algebraic topology and its geometric applications

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Convergence・collapsing theory of manifolds, Ricci flows and the geometry and analysis of singular spaces

    • Principal Investigator
      YAMAGUCHI Takao
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      University of Tsukuba
  •  Diophantine geometry and moduli problems

    • Principal Investigator
      MORIWAKI Atsushi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Research of new developments in moduli spaces and integrable systems

    • Principal Investigator
      SAITO Masa-hiko
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kobe University
  •  Homotopy Theoretic Study of Higher Dimensional Categories

    • Principal Investigator
      NISHIDA Goro
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Study on Floer cohomology, mirror symmetry conjecture and singularity

    • Principal Investigator
      OHTA Hiroshi
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Homotopical Algebra and its Geometric Applications

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Graduate School of Science, Kyoto University
  •  Unified approach of Ricci-flat manifolds

    • Principal Investigator
      GOTO Ryushi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  Floor homology, singularities and deformation theory

    • Principal Investigator
      ONO Kaoru
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Bifurcation theoretical approach to chaotic dynamics and to systems with large degrees of freedom

    • Principal Investigator
      KOKUBU Hiroshi
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      KYOTO UNIVERSITY
  •  物理学に刺激されて生まれた種々の幾何学Principal Investigator

    • 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
  •  ホモロジー論におけるカテゴリー論的手法

    • Principal Investigator
      河野 明
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Moduli spaces and arithmetic geometry

    • Principal Investigator
      MORIWAKI Atushi
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Algebraic topology and formal group law

    • Principal Investigator
      NISHIDA Goro
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Moduli space, Homotopical algebra, Field theoryPrincipal Investigator

    • 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
  •  計算量の理論と4次元重力理論の計算不能性Principal Investigator

    • Principal Investigator
      深谷 賢治
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Various Aspects of Topology

    • Principal Investigator
      TSUBOI Takashi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Geometry on String Theory and Moduli spaces

    • Principal Investigator
      SAITO Masa-hiko
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kobe University
  •  Algebraic Geometry, Differential Geometry and Topology of Manifolds

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Global structure of dynamical systems and their bifurcations

    • Principal Investigator
      NAKAHARA Takako, 國府 寛司
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Kyoto University
  •  Floer homology, string theory and contact geometry

    • Principal Investigator
      OHTA Hiroshi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  新しい空間像の創出Principal Investigator

    • Principal Investigator
      深谷 賢治
    • Project Period (FY)
      1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Symplectic structures and singularities

    • Principal Investigator
      ONO Kaoru
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  国際共同研究「超弦理論と量子コホモロジー」を組織する為の企画調査

    • Principal Investigator
      SAITO Masa-hiko
    • Project Period (FY)
      1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kobe University
  •  Study of Moduli and its Applications

    • Principal Investigator
      MARUYAMA Masaki
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Fundamentals and Applications of Mathematics

    • Principal Investigator
      NISHIKAWA Seiki
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Classifying spaces of Categories, Flore Homology and Homotopsy Theory of Infinite Complexes

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  Gauge theory and sympletic, contact geometry

    • Principal Investigator
      OHTA Hiroshi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Moduli space and infinite dimensional geometryPrincipal Investigator

    • 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
  •  Study on symplectic structures and contact structures

    • Principal Investigator
      ONO Kaoru
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
      Ochanomizu University
  •  RESEARCH ON HIGHER SIGNATURES

    • Principal Investigator
      ISHII Akira
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  Study on elliptic cohomology theory

    • Principal Investigator
      NISHIDA Goro
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  Topology of manifolds and geometric structures

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  Differential Geometric Reserch on Manifolds

    • Principal Investigator
      KENMOTSU Katsuei
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Interaction between Geometry and various mathematicsPrincipal Investigator

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  Categorical Algebra and Topological Field TheoryPrincipal Investigator

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  無限自由度の可積分系と関連する幾何学

    • Principal Investigator
      松本 尭生 (松本 堯生)
    • Project Period (FY)
      1993 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Hiroshima University
  •  Geometry of Manifolds and Global Analysis

    • Principal Investigator
      NISHIKAWA Seiki
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  GEOMETRIC STUDY OF VARIATIONS ON INFINITE DIMENSIONAL MANIFOLDS

    • Principal Investigator
      OCHIAI Takushiro
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      THE UNIVERSITY OF TOKYO
  •  Topologs of manifolds and mathematical plysics

    • Principal Investigator
      KONO Akira
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  無限自由度の可積分系と関連する幾何学

    • Principal Investigator
      松本 尭生
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Hiroshima University
  •  2,3,4次元空間の幾何学における数理物理学的諸方法の統合Principal Investigator

    • Principal Investigator
      深谷 賢治
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  多様体の無限変換群の研究

    • Principal Investigator
      坪井 俊
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  4次元ファイバ-空間と曲面の写像類

    • Principal Investigator
      MATSUMOTO Yukio
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  大域解析学とスペクトル幾何学

    • Principal Investigator
      北原 晴夫
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kanazawa University
  •  Study of Nonlinear Partial Differential Equations from the View Point of Functional Analysis

    • Principal Investigator
      MASUDA Kyuya
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      University of Tokyo
  •  射影多様体の代数幾何的・複素解析的及び位相幾何的諸性質

    • Principal Investigator
      藤田 隆夫
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo

All 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2003 Other

All Journal Article Presentation Book

  • [Book] AMS/IP stidues in advanced Math. 46(Lagrangian intersection Floer theory, 2volumes)2009

    • Author(s)
      Kenji Fukaya, Y.-G.
    • Total Pages
      800
    • Publisher
      Anomaly and obstruction, International Press/Amer.Math. Soc.
    • Data Source
      KAKENHI-PROJECT-19104002
  • [Book] Lagrangian Intersection Floer Theory--Anomaly and Obstruction- Part I.AMS/IP Studies in Advanced Math.(vol 46-1)2009

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono,
    • Total Pages
      396
    • Publisher
      American Mathematical Society and International(Press.)
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Book] Lagrangian intersection Floer theory : anomaly and obstruction. Part II. AMS/IP Studies in Advanced Mathematics, 46. 2. American Mathematical Society, Providence, RI2009

    • Author(s)
      K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono
    • Publisher
      International Press
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Book] Lagrangian intersection Floer theory : anomaly and obstruction. Part I. AMS/IP Studies in Advanced Mathematics, 46. 1. American Mathematical Society, Providence, RI2009

    • Author(s)
      K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono
    • Publisher
      International Press
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Book] Lagrangian intersection Floer theory, Anomaly and obstruction2009

    • Author(s)
      Kenji Fukaya, Y.-G. Oh, Hiroshi Ohta, and Kaoru Ono
    • Total Pages
      800
    • Publisher
      International Press/Amer
    • Data Source
      KAKENHI-PROJECT-19104002
  • [Book] Lagrangian Intersection Floer Theory--Anomaly and Obstruction- Part II.AMS/IP Studies in Advanced Math.(vol 46-2)2009

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono
    • Total Pages
      409
    • Publisher
      American Mathematical Society and International(Press.)
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Book] Lagrangian Intersection Floer Theory --Anomaly and Obstruction--2009

    • Author(s)
      Kenji Fukaya
    • Total Pages
      805
    • Publisher
      American Mathematical Society and International Press
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Book] Lagrangian intersection Floer theory : anomaly and obstruction2009

    • Author(s)
      Fukaya, Kenji ; Oh, Yong-Geun ; Ohta, Hiroshi ; Ono, Kaoru
    • Total Pages
      800
    • Publisher
      American Mathematical Society and International Press
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Book] Lagrangian Intersection Floer Theory-Anomaly and Obstruction-. AMS/IP Studies in Advanced Math2009

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono
    • Total Pages
      805
    • Publisher
      American Mathematical Society and International Press
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Book] シンプレクティック幾何学(講座からの単行本化)2008

    • Author(s)
      深谷賢治
    • Total Pages
      414
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Book] Lagrangian intersection Floer theory - anomaly and obstruction -2005

    • Author(s)
      Kenji FUKAYA, Y-G-Oh, Hiroshi Ohta, KAORU ONO
    • Total Pages
      500
    • Publisher
      Interscience
    • Data Source
      KAKENHI-PROJECT-13852001
  • [Journal Article] Anti-symplectic involution and Floer cohomology2016

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hirohi Ohta, Kaoru Ono
    • Journal Title

      Geometry and Topology

      Volume: 未定 Pages: 1-109

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Shrinking good coordinate systems associated to Kuranishi structures2016

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hirohi Ohta, Kaoru Ono
    • Journal Title

      Journal of Symplectic geometry

      Volume: 未定

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Lagrangian Floer theory and Mirror symmetry on compact toric manifolds2016

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hirohi Ohta, Kaoru Ono
    • Journal Title

      Asterisque

      Volume: 376 Pages: 1-340

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Lagrangian Floer theory and mirror symmetry on compact toric manifolds2015

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono
    • Journal Title

      to appear in Asterisques

      Volume: 196 Pages: 1-314

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Kuranishi structure, Pseudo-holomorphic curve, and Virtual fundamental chain: Part 12015

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono
    • Journal Title

      arXiv

      Volume: 1503.07631 Pages: 1-203

    • Open Access
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] LAGRANGIAN FLOER THEORY AND MIRROR SYMMETRY ON COMPACT TORIC MANIFOLDS2014

    • Author(s)
      Kenji FukayaKenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, and Kaoru Ono
    • Journal Title

      Asterisque

      Volume: 296 Pages: 1-320

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Anti-symplectic involution and Floer cohomology2014

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono
    • Journal Title

      arXiv

      Volume: 0912.2646 Pages: 1-100

    • Open Access
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] LAGRANGIAN FLOER THEORY AND MIRROR SYMMETRY ON COMPACT TORIC MANIFOLDS2014

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, and Kaoru Ono
    • Journal Title

      Asterisque

      Volume: unknown Pages: 1-320

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Shrinking good coordinate systems associated to Kuranishi structures2014

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono
    • Journal Title

      arXiv

      Volume: 1405.1755 Pages: 1-13

    • Open Access
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] DISPLACEMENT OF POLYDISKS AND LAGRANGIAN FLOER THEORY2013

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, and Kaoru Ono
    • Journal Title

      JOURNAL OF SYMPLECTIC GEOMETRY

      Volume: 11-2 Pages: 231-268

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Displacement of polydisks and Lagrangian Floer theory2013

    • Author(s)
      ukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
    • Journal Title

      J. Symplectic Geom

      Volume: 11-2 Pages: 231-268

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Lagrangian Floer theory over integers : spherically positive symplectic manifolds2013

    • Author(s)
      K. Fukaya, Y.-G. Oh, H. Ohta and K. Ono
    • Journal Title

      Pure and Applied Mathematics Quarterly

      Volume: Vol.9 Issue: 2 Pages: 189-289

    • DOI

      10.4310/pamq.2013.v9.n2.a1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244002, KAKENHI-PROJECT-23224001, KAKENHI-PROJECT-23224002, KAKENHI-PROJECT-24224001
  • [Journal Article] Displacement of polydisks and Lagrangian Floer theory2013

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono
    • Journal Title

      J. Symplectic Geom.

      Volume: 11 Pages: 231-268

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340015
  • [Journal Article] Lagrangian Floer theory over integers: Spherically positive symplectic manifolds2013

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono
    • Journal Title

      Pure and Applied Mathematics Quarterly

      Volume: 9 Pages: 189-289

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340015
  • [Journal Article] Toric degeneration and nondisplaceable Lagrangian tori in S^2 \times S^22012

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, and Kaoru Ono
    • Journal Title

      International Mathematics Research Notices

      Volume: 2012-13 Pages: 2942-2993

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Journal Article] Toric degeneration and non-displaceable Lagrangian tori in S^2x S^22012

    • Author(s)
      K. Fukaya, Y.-G. Oh, H. Ohta and K. Ono
    • Journal Title

      International Mathematical Research Notices

      Volume: (印刷中) Issue: 13 Pages: 2942-2993

    • DOI

      10.1093/imrn/rnr128

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244002, KAKENHI-PROJECT-23224001, KAKENHI-PROJECT-23340015
  • [Journal Article] Displacement of polydisks and Lagrangian Floer theory2012

    • Author(s)
      Kenji Fukaya
    • Journal Title

      J.Symplectic Geom.

      Volume: (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340015
  • [Journal Article] Lagrangian Floer theory on compact toric manifolds: Survey2012

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Surveys in Differential Geom.

      Volume: XVII Pages: 229-298

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340015
  • [Journal Article] Lagrangian Floer theory on compact toric manifolds II : bulk deformations2011

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Selecta Mathematica New Series

      Volume: 17 Pages: 609-711

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340015
  • [Journal Article] COUNTING PSEUDO-HOLOMORPHIC DISCS IN CALABI-YAU 3-FOLDS2011

    • Author(s)
      K.Fukaya
    • Journal Title

      東北数学雑誌

      Volume: 63-4(accepted)

    • NAID

      110008764867

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23244007
  • [Journal Article] Lagrangian Floer theory on compact toric manifolds, II2011

    • Author(s)
      K. Fukaya, Y.-G. Oh, H. Ohta and K. Ono
    • Journal Title

      Selecta Mathematica New Series

      Volume: 17 Issue: 3 Pages: 609-711

    • DOI

      10.1007/s00029-011-0057-z

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21244002, KAKENHI-PROJECT-23244007
  • [Journal Article] Counting pseudoholomorphic discs in Calabi-Yau 3-folds2011

    • Author(s)
      K. Fukaya
    • Journal Title

      Tohoku Math. J

      Volume: 63, no.4 Pages: 697-727

    • NAID

      110008764867

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104002
  • [Journal Article] Lagrangian Floer theory on compact tonic manifolds II : bulk deformations2011

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Selecta Math.(New series)

      Volume: (印刷中,未定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Journal Article] Lagrangian Floer theory on compact toric manifolds I2010

    • Author(s)
      K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono
    • Journal Title

      Duke Math. J

      Volume: 151, no.1 Pages: 23-174

    • NAID

      120002598755

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Lagrangian Floer theory on compact toric manifolds I2010

    • Author(s)
      Fukaya, Kenji ; Oh, Yong-Geun ; Ohta, Hiroshi ; Ono, Kaoru
    • Journal Title

      Duke Math. J. 151

      Pages: 23-174

    • NAID

      120002598755

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Cyclic symmetry and adic convergence in Lagrangian Floer theory2010

    • Author(s)
      K.Fukaya
    • Journal Title

      Kyoto J.Math.

      Volume: 50 Pages: 521-590

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Anchored Lagrangian submanifolds and their Floer theory.2010

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono
    • Journal Title

      Contemp.Math vol 527

      Pages: 15-54

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Journal Article] Differentiable operad, Kuranishi correspondence. and Foundation of topological field theories based on pseudo-holomorphic curves2010

    • Author(s)
      K.Fukaya
    • Journal Title

      Progr.Math.

      Volume: 279 Pages: 123-200

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Lagrangian Floer theory on compact toric manifolds I.2010

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono,
    • Journal Title

      Duke Math.J. vol 151

      Pages: 23-175

    • NAID

      120002598755

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Journal Article] Lagrangian Floer theory on compact toric manifolds I2010

    • Author(s)
      K.Fukaya, Y.-G.Oh, H.Ohta, K.Ono
    • Journal Title

      Duke Math.J.

      Volume: 151 Pages: 23-174

    • NAID

      120002598755

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Lagrangian Floer theory on compact toric manifolds2010

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono
    • Journal Title

      I.Duke Math.J. vol 151

      Pages: 23-175

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Journal Article] Lagrangian Floer theory on compact toric manifolds II : buld feromations.2010

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono,
    • Journal Title

      Selecta Mathematica (New Series) 掲載決定・印刷中

      Pages: 103-103

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Journal Article] Anchored Lagrangian submanifolds and their Floer theory2010

    • Author(s)
      K.Fukaya, Y.-G.Oh, H.Ohta, K.Ono
    • Journal Title

      Contemp.Math.

      Volume: 527 Pages: 15-54

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Cyclic symmetry and adic convergence in Lagrangian Floer theory2010

    • Author(s)
      K. Fukaya
    • Journal Title

      Kyoto J. Math

      Volume: 50, no.3 Pages: 521-590

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Lagrangian Floer theory on compact toric manifolds I2010

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Duke Math.J. 151

      Pages: 23-175

    • NAID

      120002598755

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Journal Article] Lagrangian Floer theory on compact toric manifolds. I.2010

    • Author(s)
      Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
    • Journal Title

      Duke Math. J. 151, no.1

      Pages: 23-174

    • NAID

      120002598755

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] Lagrangian Floer theory on compact toric manifolds I2010

    • Author(s)
      K. Fukaya, Y.-G. Oh, Hiroshi Ohta and Kaoru Ono
    • Journal Title

      Duke Math. J

      Volume: 151 Pages: 23-174

    • NAID

      120002598755

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104002
  • [Journal Article] Anchored Lagrangian submanifolds and their Floer theory2010

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Contemp.Math.

      Volume: 527 Pages: 15-54

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Journal Article] Differentiable operad, Kuranishi correspondence, and Foundation of topological field theories based on pseudo-holomorphic curves2010

    • Author(s)
      K. Fukaya
    • Journal Title

      Arithmetic and geometry around quantization

      Volume: 279 Pages: 123-200

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Anchored Lagrangian submanifolds and their Floer theory2010

    • Author(s)
      K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono
    • Journal Title

      Mirror symmetry and tropical geometry

      Volume: 527 Pages: 15-54

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] The symplectic Geometry of Cotangent bundle from a Categorical Viewpoint2009

    • Author(s)
      K. Fukaya, P. Seidel, I. Smith
    • Journal Title

      Lectures notes in Physics 756

      Pages: 1-26

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] The symplectic geometry of cotangent bundles from a categorical viewpoint2009

    • Author(s)
      K. Fukaya, P. Seidel, I Smith
    • Journal Title

      Homological mirror symmetry

      Volume: 757 Pages: 1-26

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] The symplectic Geometry of Cotangent bundle from a Categorical Viewpoint2009

    • Author(s)
      K. Fukaya, P. Seidel, I. Smith
    • Journal Title

      Homological Mirror symmetry, Lectures notes in Physics 757

      Pages: 1-26

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Canonical models of filtered $A_{\infty}$ algebras and Morse complexes2009

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono
    • Journal Title

      CRM Proc.Lecture Notes, Amer.Math.Soc. vol 49

      Pages: 201-227

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Journal Article] Canonical models of filtered $A_\infty$-algebras and Morse complexes.2009

    • Author(s)
      Fukaya, Kenji ; Oh, Yong-Geun ; Ohta, Hiroshi ; Ono, Kaoru
    • Journal Title

      New perspectives and challenges in symplectic field theory, Amer. Math. Soc., CRM Proc. Lecture Notes 49

      Pages: 201-227

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Canonical models of filtered A^∞-algebras and Morse complexes to appear CRM2009

    • Author(s)
      K. Fukaya, Y.G.-Oh, H. Ohta, K. Ono
    • Journal Title

      Proceedings and Lecture Notes Volume 49(accepted)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Canonical models of filtered A ∞ -algebras and Morse com plexes2009

    • Author(s)
      K. Fukaya, Y. -G. Oh, H. Ohta and K. Ono
    • Journal Title

      CRM Proceedings and Lecture Notes 49(In Press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340014
  • [Journal Article] Canonical models of filtered$ A_{\infty}$-algebras and Morse complexes2009

    • Author(s)
      K. Fukaya, Y.-G. Oh, H. Ohta, K. Ono
    • Journal Title

      CRM Proc. Lecture Notes

      Volume: 49 Pages: 201-227

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Loop space and holomorphic disc -summary-2009

    • Author(s)
      K. Fukaya
    • Journal Title

      Proceeding of International Congress of Chinese Mathematics

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Canonical models of filtered A∞-algebras and Morse complexes.2009

    • Author(s)
      Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru
    • Journal Title

      New perspectives and challenges in symplectic field theory, CRM Proc. Lecture Notes(Amer. Math. Soc.) 49

      Pages: 201-227

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] Canonical models of filtered A^∞-algebras and Morse complexes2009

    • Author(s)
      K. Fukaya, Y. G. -Oh, H. Ohta, K. Ono
    • Journal Title

      CRM Proceedings and Lecture Notes 49

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Canonical models of filtered $A_{\infty}$ algebras and Morse complexes. CRM Proc.2009

    • Author(s)
      Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono,
    • Journal Title

      Lecture Notes, Amer. Math. Soc. vol 49.

      Pages: 201-227

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Journal Article] Canonical models of filtered $A_{\infty}$ algebras and Morse complexes2009

    • Author(s)
      Kenji Fukaya
    • Journal Title

      CRM Proc. Lecture Notes, Amer.Math.Soc. 49

      Pages: 201-227

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340017
  • [Journal Article] Exact Lagrangian submanifolds in simplly connected cotangent bundles2008

    • Author(s)
      K. Fukaya, P. Seidel, I. Smith
    • Journal Title

      Invent. Math 172

      Pages: 1-27

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Exact Lagrangian submanifolds in simply connected cotangent bundle2008

    • Author(s)
      Kenji Fukaya, P. Seidel I. Smith
    • Journal Title

      Invent. Math. 172

      Pages: 1-27

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Exact Lagrangian submanifolds insimply-connected cotangent bundles2008

    • Author(s)
      K. Fukaya, P. Seidel, I. Smith
    • Journal Title

      Invent Math

      Volume: 172(1) Pages: 1-27

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19104002
  • [Journal Article] Exact Lagrangian submanifolds in simply-connected cotangent bundles2008

    • Author(s)
      K. Fukaya, P. Seidel, I Smith
    • Journal Title

      Invent. Math

      Volume: 172, no.1 Pages: 1-27

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Exact Lagrangian submanifolds in simply-connected cotangent bundles2008

    • Author(s)
      Fukaya, Kenji ; Seidel, Paul ; Smith, Ivan
    • Journal Title

      Invent. Math 172,no. 1

      Pages: 1-27

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204003
  • [Journal Article] Loop space and holomorp hic disc -summary-2007

    • Author(s)
      K. Fukaya
    • Journal Title

      to appear in proceedings of ICCM 2007

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Metric Riemannian geometry2006

    • Author(s)
      Fukaya, Kenji
    • Journal Title

      Handbook of differential geometry Vol. II

      Pages: 189-313

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204003
  • [Journal Article] Floer homo logy in symplectic geometry and in mirror symmetry2006

    • Author(s)
      Y.-G. Oh and K. Fukaya
    • Journal Title

      International Congress of Mathematicians(Eur. Math. Soc., Zurich) Vol.II

      Pages: 879-905

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Application of Floer homology of Langrangian submanifolds to symplectic topology. [Application of Floer homology of Lagrangian submanifolds to symplectic topology] Morse theoretic methods in nonlinear analysis and in symplectic topology2006

    • Author(s)
      Fukaya, Kenji
    • Journal Title

      NATO Sci. Ser. II Math. Phys. Chem.(Springer, Dordrecht) 217

      Pages: 231-276

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204003
  • [Journal Article] the work of Kaoru Ono2006

    • Author(s)
      K.Fukaya
    • Journal Title

      Sugaku 58

      Pages: 184-191

    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] Metric Riemannian geometry.2006

    • Author(s)
      Fukaya, Kenji
    • Journal Title

      Handbook of differential geometry. Vol. II

      Pages: 189-313

    • Data Source
      KAKENHI-PROJECT-17204003
  • [Journal Article] Floer homology in symplectic geometry and in mirror symmetry. International Congress of Mathematicians2006

    • Author(s)
      Oh, Yong-Geun ; Fukaya, Kenji
    • Journal Title

      Eur. Math. Soc., Zurich Vol. II

      Pages: 879-905

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204003
  • [Journal Article] Application of Floer homology of Lagrangian submanifolds to symplectic topology2006

    • Author(s)
      Fukaya, Kenji
    • Journal Title

      Morse theoretic method in Nonlinear Analysis and in symplectic topology, NATO Science Series Series II, 217

      Pages: 231-277

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13852001
  • [Journal Article] Floer homology in symplectic geometry and in mirror symmetry. International Congress of Mathematicians2006

    • Author(s)
      Y.G.-Oh, K.Fukaya
    • Journal Title

      Eur. Math. Soc., Zurich Vol. II

      Pages: 879-905

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Metric Riemannian geometry.2006

    • Author(s)
      K.Fukaya
    • Journal Title

      Handbook of differential geometry. Vol. II

      Pages: 189-313

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340009
  • [Journal Article] Application of Floer homology of Lagrangian submanifolds to Symplectic Topology2006

    • Author(s)
      K. Fukaya
    • Journal Title

      Morse theoretic methods in nonlinear analysis and in symplectic topology

      Volume: 217 Pages: 231-276

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Metric Riemanian geometry2006

    • Author(s)
      Fukaya, Kenji
    • Journal Title

      Handbook of differenctial geometry II

      Pages: 189-313

    • Data Source
      KAKENHI-PROJECT-17340007
  • [Journal Article] Metric Riemannian geometry2006

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Handbook of differential geometry 2

      Pages: 189-313

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540061
  • [Journal Article] Metric Riemannian geometry2006

    • Author(s)
      K.Fukaya
    • Journal Title

      Handbook of differential geometry II II

      Pages: 189-313

    • Data Source
      KAKENHI-PROJECT-17204003
  • [Journal Article] Application of Floer homology of Lagrangian submanifolds to Symplectic topology.2006

    • Author(s)
      Fukaya, Kenji
    • Journal Title

      Morse theoretic method in Nonlinear Analysis and in symplectic topology NATO Science Series, Series II, 217

      Pages: 231-277

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13852001
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry2005

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Proc.Sympos.Pure Math 73

      Pages: 205-278

    • Data Source
      KAKENHI-PROJECT-16540061
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry2005

    • Author(s)
      K.Fukaya
    • Journal Title

      Proc.Sympos.Pure Math., 73

      Pages: 205-278

    • Data Source
      KAKENHI-PROJECT-16340009
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry2005

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Proc.Symposia in Pure Mathematics 73

      Pages: 205-278

    • Data Source
      KAKENHI-PROJECT-14340019
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry.2005

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Proc.Sympos.Pure Math. 73

      Pages: 205-278

    • Data Source
      KAKENHI-PROJECT-15340020
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry.2005

    • Author(s)
      K.Fukaya
    • Journal Title

      Proc. Sympos. Pure Math. 73

      Pages: 205-278

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340009
  • [Journal Article] Asymptotic Analysis, Multivalued Morse theory, and Mirror symmetry2005

    • Author(s)
      Kenji FUKAYA
    • Journal Title

      Proceedings of Symposia in Pure Mathematics Vol.73

      Pages: 1-80

    • Data Source
      KAKENHI-PROJECT-13852001
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry.2005

    • Author(s)
      Kenji.Fakaya
    • Journal Title

      Proc.Symp.Pure.math. A.M.S. 73

      Pages: 205-278

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340020
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry2005

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Prec.Symps.Pure Mathematics 73

      Pages: 205-278

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340019
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry.2005

    • Author(s)
      Fukaya, Kenji
    • Journal Title

      Proc. Sympos. Pure Math. 73

      Pages: 205-278

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13852001
  • [Journal Article] Multivalued Morse Theory, asymptotic analysis, and Mirror symmetry2005

    • Author(s)
      Fukaya, Kenji
    • Journal Title

      Proceeding Symposia in Pure Math. 75

      Pages: 205-278

    • Data Source
      KAKENHI-PROJECT-16540061
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry. Graphs and patterns in mathematics and theoretical physic2005

    • Author(s)
      Fukaya, Kenji
    • Journal Title

      Proc.Sympos.Pure Math 73

      Pages: 205-278

    • Data Source
      KAKENHI-PROJECT-17340007
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry2005

    • Author(s)
      K.Fukaya
    • Journal Title

      Proc. Sympos. Pure Math. 73

      Pages: 205-278

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340009
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry2005

    • Author(s)
      Fukaya, Kenji
    • Journal Title

      Proc.Sympos.Pure Math. 73

      Pages: 205-278

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13852001
  • [Journal Article] Application of Floer homology of Lagrangian submanifolds to Symplectic topology2005

    • Author(s)
      Fukaya, Kenji
    • Journal Title

      Nato Science Series II. Math. and Physics and Chemistory 217

      Pages: 231-272

    • Data Source
      KAKENHI-PROJECT-16540061
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry. Graphs and patterns in mathematics and theoretical physics2005

    • Author(s)
      Fukaya, Kenji
    • Journal Title

      Proc. Sympos. Pure Math(Amer. Math. Soc., Providence, RI) 73

      Pages: 205-278

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204003
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry2005

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Proc. Sympos. Pure Math, A.M.S. 73

      Pages: 205-278

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340020
  • [Journal Article] Multivalued Morse theory, asymptotic analysis and mirror symmetry.2005

    • Author(s)
      Fukaya, Kenji
    • Journal Title

      Proc.Sympos.Pure Math. 73

      Pages: 205-278

    • Data Source
      KAKENHI-PROJECT-13852001
  • [Journal Article] Multivalued Morse Theory, asymptotic analysis and mirror symmetry2005

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Proc. Sympos. Pure Mathematics 73

      Pages: 205-278

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340019
  • [Journal Article] Deformation theory, homological algebra and mirror symmetry2003

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Ser.High Energy Physics Cosmol.Grarit.

      Pages: 121-209

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340019
  • [Journal Article] Deformation theory, homological algebra and mirror symmetry2003

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Ser. High Energy Physics. Cosmol. Gravit.

      Pages: 121-209

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340019
  • [Journal Article] Differential operad, Kuranishi correspondence, and Foundation of topological field theories based on pseudo-holomorphic curve

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Proc. of AGAQ conference (ed. M. Marcolli, Y. Mannin, O Ceyhan) Birkhauser.論文集 (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Differentiable operad, Kuranishi correspondence, and Foundation of topological field theories based on pseudo-holomorphic curve

    • Author(s)
      K.Fukaya
    • Journal Title

      The Proc. of Arithmetic and Geometry Around Quantization-Istanbul (to appear)(accepted)

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Cyclic symmetry and adic convergence in Lagrangian Floer theory.

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Kyoto Journal of Math. (to appear(accepted))

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Canonical models of filtered A_∞-algebras and Morse complexes

    • Author(s)
      K. Fukaya, Y.-G. Oh, H. Ohta and K.Ono
    • Journal Title

      Proceedings of Yashafest, CRM Proceedings and Lecture Notes (In Press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340014
  • [Journal Article] Symplectic geometry of cotangent bundle from a categorical point of view

    • Author(s)
      Kenji Fukaya, P. Seidel I. Smith
    • Journal Title

      Homological Mirror symmetry (ed. A. Kapustin, M. Kreuzer, K. -G. Schlesinger) Birkhauser.論文集 (掲載決定)

      Pages: 1-26

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Application of Floer homology of Langrangian submanifolds

    • Author(s)
      Kenji FUKAYA
    • Journal Title

      Proceeding of Montreal conference on Symplectic topology (to appear)

      Pages: 1-35

    • Data Source
      KAKENHI-PROJECT-13852001
  • [Journal Article] Metric Riemannian geometry

    • Author(s)
      Kenji FUKAYA
    • Journal Title

      Handbook of Differential Geometry (to appear)

      Pages: 1-133

    • Data Source
      KAKENHI-PROJECT-13852001
  • [Journal Article] The symplectic geometry of cotangent bundles from a categorical viewpoint

    • Author(s)
      K.Fukaya, P.Seidel, I.Smith
    • Journal Title

      The Proc. of Mirror symmetry conference in Schroedinger institute. (to appear)(accepted)

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Journal Article] Loop space and holomorphic disc-summary-

    • Author(s)
      Kenji Fukaya
    • Journal Title

      Proc. Of International Congress of Chinese Math.論文集 (掲載決定)

    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Lagrangian correspondences and A infinity functors2016

    • Author(s)
      Kenji Fukaya
    • Organizer
      Geometry and Physics: Mirror symmetry, Hodge theory, and related topics
    • Place of Presentation
      University of Miami
    • Year and Date
      2016-01-27
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Floer homology of 3-manifolds with boundary2016

    • Author(s)
      Kenji Fukaya
    • Organizer
      Gromov-Witten theory, Gauge Theory and Dualities
    • Place of Presentation
      Australian National University
    • Year and Date
      2016-01-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Wall-crossing and mirror symmetry, Wall-crossing and monodromy2016

    • Author(s)
      Kenji Fukaya
    • Organizer
      Conference on Mirror Symmetry and Wall-Crossing
    • Place of Presentation
      UC Berkeley
    • Year and Date
      2016-03-23
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Floer homology for 3 manifolds with boundary2015

    • Author(s)
      Kenji Fukaya
    • Organizer
      Geometry and Physics XIII - Derived Geometry
    • Place of Presentation
      IBS Center for Geometry and Physics, Pohang
    • Year and Date
      2015-06-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Zero-dimensional family Floer homology2015

    • Author(s)
      Kenji Fukaya
    • Organizer
      Inaugural Conference, Simons Collaboration on Homological Mirror Symmetry
    • Place of Presentation
      University of Pennsylvania
    • Year and Date
      2015-11-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] 境界つき3次元多様体のフレアーホモロジー2015

    • Author(s)
      深谷賢治
    • Organizer
      トポロジーシンポジウム
    • Place of Presentation
      名古屋工業大学
    • Year and Date
      2015-08-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Forgetful map and virtual fundamental chain2015

    • Author(s)
      K. Fukaya
    • Organizer
      Conference on Homological Mirror Symmetry and Geometry
    • Place of Presentation
      The University of Miami
    • Year and Date
      2015-01-30
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Various points to be worked out when one studies virtual fundametal chain2014

    • Author(s)
      K. Fukaya
    • Organizer
      Workshop on Moduli Spaces of Pseudo-holomorphic Curves II
    • Place of Presentation
      Simons Center
    • Year and Date
      2014-06-02
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Can one use virtual fundamental chain in (topological) quantum field theory ?2014

    • Author(s)
      K. Fukaya
    • Organizer
      in Algebra, Geometry and Physics: a conference in honour of Maxim Kontsevich
    • Place of Presentation
      IHES
    • Year and Date
      2014-06-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] How we shortcut Lagrangian Floer theory in 4 dimensional case,2014

    • Author(s)
      K. Fukaya
    • Organizer
      Workshop on Topology and Invariants of 4-Manifolds Schedule
    • Place of Presentation
      Simons Center
    • Year and Date
      2014-08-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Hodge Theory’ from Floer homology2014

    • Author(s)
      K. Fukaya
    • Organizer
      Geometry Festival
    • Place of Presentation
      Stony Brook University
    • Year and Date
      2014-04-13
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Borderline case(s) in applying virtual technique to pseudo-holomorphic curves2014

    • Author(s)
      K. Fukaya
    • Organizer
      2014 Clay Research Conference and Workshops
    • Place of Presentation
      Oxford University
    • Year and Date
      2014-09-30
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Center of Mass technique and construction of equivariant Kuranishi structure2014

    • Author(s)
      K. Fukaya
    • Organizer
      in Equivariant Gromov-Witten Theory and Applications:
    • Place of Presentation
      Simons Center
    • Year and Date
      2014-05-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Construction of the Kuranishi Structure on the Moduli Space of Pseudo-Holomorphic Curves2013

    • Author(s)
      Kenji Fukaya
    • Organizer
      Joint IAS-PU Symplectic Geometry Seminar
    • Place of Presentation
      Institute for adanced study
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Construction of equivariant Kuranishi structure and equivariant perturbation2013

    • Author(s)
      Kenji Fukaya
    • Organizer
      J-holomorphic Curves in Symplectic Geometry, Topology and Dynamics
    • Place of Presentation
      University of Montreal
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] ホモロジー的ミーラ対称性:証明の方針と現状2013

    • Author(s)
      深谷賢治
    • Organizer
      京都大学幾何セミナー
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Open-closed Gromov-Witten theory2012

    • Author(s)
      Kenji Fukaya
    • Organizer
      Princeton University Math. Colloquim
    • Place of Presentation
      Princeton University
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Gluing analysis and exponential decay estimate for pseudo-holomorphic curve with bubbles2012

    • Author(s)
      Kenji Fukaya
    • Organizer
      Symplectic and Contact Geometry and Connections to Low-Dimensional Topology
    • Place of Presentation
      Simons Center for Geometry and Physics
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] 対称性と一般性genericity2012

    • Author(s)
      深谷賢治
    • Organizer
      九州大学幾何セミナー
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Floer homology of arbitrary genus2012

    • Author(s)
      Kenji Fukaya
    • Organizer
      Workshop on Interactions Between Algebra and Dynamics in Symplectic Topology
    • Place of Presentation
      Israel Institute of Technology
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Involutive bi-Lie infinity structure and Floer homology of arbitrary genus etc.2012

    • Author(s)
      Kenji Fukaya
    • Organizer
      IPMU Seminar
    • Place of Presentation
      Institute Physics Mathematics of Universe
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Homological Mirror symmetry of toric manifolds2011

    • Author(s)
      深谷賢治
    • Organizer
      Real Enumerative Questions in Complex and Tropical Geometry
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach(ドイツ)(招待講演)
    • Year and Date
      2011-04-20
    • Data Source
      KAKENHI-PROJECT-23244007
  • [Presentation] Open closed Gromov-Witten theory and its application to symplectic topology2011

    • Author(s)
      深谷賢治
    • Organizer
      Geometric and Algebraic Structures in Mathematics
    • Place of Presentation
      Simons Center for geometry and physics(アメリカ)(招待講演)
    • Year and Date
      2011-05-27
    • Data Source
      KAKENHI-PROJECT-23244007
  • [Presentation] Calculations and applications of Lagrangian Floer cohomology2010

    • Author(s)
      K.Fukaya
    • Organizer
      From Dynamical Systems to Symplectic Topology Conference in honour of Edi Zehnder on the occasion of his 70th birthday
    • Place of Presentation
      ETH Zurich(スイス)(招待講演)
    • Year and Date
      2010-11-12
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] ラグランジュ部分多様体のフレアーホモロジーの計算と応用2010

    • Author(s)
      K.Fukaya
    • Organizer
      京都大学大談話会
    • Place of Presentation
      京都大学(招待講演)
    • Year and Date
      2010-11-17
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Homological mirror symmetry between toric A model and Landau-Ginzburg B model2010

    • Author(s)
      K.Fukaya
    • Organizer
      Hayashibara Forum
    • Place of Presentation
      京大数理研(招待講演)
    • Year and Date
      2010-11-05
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Lagrangian Floer theory and Mirror symmetry2010

    • Author(s)
      K. Fukaya
    • Organizer
      HSIUNG INTERNATIONAL SYMPOSIUM IN GEOMETRY AND TOPOLOGY
    • Place of Presentation
      Lehigh University(アメリカ)
    • Year and Date
      2010-05-28
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Mirror symmetry between Toric A model and Landau-Gizburg B model2010

    • Author(s)
      K.Fukaya
    • Organizer
      Yamabe symposium
    • Place of Presentation
      University of Minesota(アメリカ)(招待講演)
    • Year and Date
      2010-10-10
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Hochschild and cyclic cohomology in Lagrangian Floer theory and Mirror symmetry2010

    • Author(s)
      K.Fukaya
    • Organizer
      Higher structure in Math.and Physics 2010
    • Place of Presentation
      Schrodinger institute(オーストリア)(招待講演)
    • Year and Date
      2010-10-25
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Anti-holomorphic involution in Lagrangian Floer theory2010

    • Author(s)
      K.Fukaya
    • Organizer
      STRUCTURES REELLES SUR LES VARIETES COMPLEXES : RESULTATS ETPERSPECTIVES
    • Place of Presentation
      Luminy(フランス)(招待講演)
    • Year and Date
      2010-06-16
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Lagrangian Floer theory and Mirror symmetry2010

    • Author(s)
      K.Fukaya
    • Organizer
      C.-C.HSIUNG INTERNATIONAL SYMPOSIUM IN GEOMETRY AND TOPOLOGY
    • Place of Presentation
      Lehigh University(アメリカ)(招待講演)
    • Year and Date
      2010-05-28
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] ラグランジュ部分多様体のフレアーホモロジーの計算と応用2010

    • Author(s)
      K. Fukaya
    • Organizer
      京都大学大談話会
    • Place of Presentation
      京都大学
    • Year and Date
      2010-11-17
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Hochschild and cyclic cohomology in Lagrangian Floer theory and Mirror symmetry2010

    • Author(s)
      K. Fukaya
    • Organizer
      Higher structure in Math. and Physics
    • Place of Presentation
      Schrodinger institute(オーストリア)
    • Year and Date
      2010-10-25
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Mirror symmetry for toric manifold and singularity theory on Novikov ring 他2件2009

    • Author(s)
      深谷賢治
    • Organizer
      北京大学談話会
    • Place of Presentation
      北京大学
    • Year and Date
      2009-03-25
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Mirror symmetry of topic manifolds2009

    • Author(s)
      深谷賢治
    • Organizer
      Work shop on Homological Mirror symmetry and related topics
    • Place of Presentation
      マイアミ大学
    • Year and Date
      2009-03-21
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Lagrangian Floer homology and Mirror symmetry2008

    • Author(s)
      深谷賢治
    • Organizer
      Brent P. Smith Memorial Lecture, Kansas state University
    • Place of Presentation
      カンザス州立大学
    • Year and Date
      2008-12-12
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Floer theory of orbits in toric manifolds2008

    • Author(s)
      Kenji Fukaya
    • Organizer
      New developments in Algebraic Geometry, Integrable system and Mirror symmetry
    • Place of Presentation
      数理解析研究所
    • Year and Date
      2008-01-08
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Lagrangian Floer cohomology on toricmanifold2008

    • Author(s)
      深谷賢治
    • Organizer
      Geometry seminar at Univ. Mineapolis
    • Place of Presentation
      ミネアポリス大学
    • Year and Date
      2008-12-10
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Mirror symmetry of toric A-model and Landau-Ginzburg B-model2008

    • Author(s)
      深谷賢治
    • Organizer
      Perspectives in Mathematical Sciences
    • Place of Presentation
      慶応大学
    • Year and Date
      2008-10-11
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Lagrangian Floer Theory on Toric Manifolds2008

    • Author(s)
      深谷賢治
    • Organizer
      Higher structure conference
    • Place of Presentation
      モントリオール大学
    • Year and Date
      2008-05-20
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Mirror symmetry of toric A model and LG B-model2008

    • Author(s)
      深谷賢治
    • Organizer
      Concluding conference of the program Real and Tropical Algebraic Geometry
    • Place of Presentation
      ベルヌイセンター
    • Year and Date
      2008-06-20
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] K. Saitoh theory on Novikov ring2008

    • Author(s)
      深谷賢治
    • Organizer
      CBMS workshop Toropical geometry and Mirror symmetry
    • Place of Presentation
      カンザス州立大学
    • Year and Date
      2008-12-17
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Symplectic Geometry of Lagrangian submanifold2008

    • Author(s)
      Kenji Fukaya
    • Organizer
      Opening Symposium
    • Place of Presentation
      数物連携宇宙機構
    • Year and Date
      2008-03-10
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Lagrangian Floer theory via example of Toric manifolds2008

    • Author(s)
      深谷賢治
    • Organizer
      Holomorphic curves : algebraic structures and geometric application
    • Place of Presentation
      スタンフォード大学
    • Year and Date
      2008-08-24
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Various aspects and approaches to chain level string topology2008

    • Author(s)
      深谷賢治
    • Organizer
      Higher structure conference
    • Place of Presentation
      ペルヌイセンター
    • Year and Date
      2008-11-05
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Loop space and holomorphic disc2007

    • Author(s)
      Kenji Fukaya
    • Organizer
      International Congress of Chinese Math.
    • Place of Presentation
      Hanzhou University
    • Year and Date
      2007-12-20
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Normally polynomial Perturbation revisited2007

    • Author(s)
      Kenji Fukaya
    • Organizer
      Birds Workshop on Floer homology
    • Place of Presentation
      Banff Research center
    • Year and Date
      2007-05-15
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Phenomenon of Tropical flavor in Lagrangian Floer theory2007

    • Author(s)
      Kenji Fukaya
    • Organizer
      Tropical Geometry
    • Place of Presentation
      Mathematisches Forschungsinsinstitute Oberwolfach
    • Year and Date
      2007-10-12
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Homotopy theory of A infinity algebras I2007

    • Author(s)
      Kenji Fukaya
    • Organizer
      Toward relative symplectic Field theory
    • Place of Presentation
      ニューヨーク市立大学
    • Year and Date
      2007-09-07
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] three lectures on algebraic aspects on flitered $A_{\infty}$-algebras2007

    • Author(s)
      Kenji Fukaya, Hiroshi Ohta and Kaoru Ono
    • Organizer
      AIM workshop "Toward relative symplectic field theory"
    • Place of Presentation
      Graduate Center CUNY, New York, U. S. A.,
    • Year and Date
      2007-09-24
    • Data Source
      KAKENHI-PROJECT-18340014
  • [Presentation] L infinity differential operad, string topology and pseudo-holomorphic discs2007

    • Author(s)
      Kenji Fukaya
    • Organizer
      Conference on Symplectic geometry and Physics
    • Place of Presentation
      チューリッヒ工科大学
    • Year and Date
      2007-09-03
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Lagrangian Floer theory2007

    • Author(s)
      Kenji Fukaya
    • Organizer
      International conference on Geometry and Analysis
    • Place of Presentation
      南京大学
    • Year and Date
      2007-08-06
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Lectures on algebraicaspects on filtered A_∞-algebras2007

    • Author(s)
      K. Fukaya, H. Ohta and K. Ono(onelecture each)
    • Organizer
      AIM workshop : Toward relative symplectic fieldtheory
    • Place of Presentation
      Graduate Center, CUNY, NY
    • Data Source
      KAKENHI-PROJECT-18340014
  • [Presentation] Mirror symmetry of Abelian varieties2007

    • Author(s)
      Kenji Fukaya
    • Organizer
      Workshop on homological Mirror symmetry and related matter
    • Place of Presentation
      ベルヌーイセンター(ローザンヌ)
    • Year and Date
      2007-08-28
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] L infinity piecewise differentiable operad and transversality problem in string topology2007

    • Author(s)
      Kenji Fukaya
    • Organizer
      Pasific Rim complex geometry conference
    • Place of Presentation
      ホテル北野プラザ六甲荘
    • Year and Date
      2007-08-12
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Lagrangian Floer theory in the case of Real point set II2007

    • Author(s)
      Kenji Fukaya
    • Organizer
      Real Tropical and complex enumerative Geometry
    • Place of Presentation
      モントリオール大学数学研究センター
    • Year and Date
      2007-06-20
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Lagrangian Floer theory in the case of Real point set I2007

    • Author(s)
      Kenji Fukaya
    • Organizer
      Real Tropical and complex enumerative Geometry
    • Place of Presentation
      モントリオール大学数学研究センター
    • Year and Date
      2007-06-19
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Kuranishi correspondence and foundation of various topologica I field theories2007

    • Author(s)
      Kenji Fukaya
    • Organizer
      Recent development in symplectic topology
    • Place of Presentation
      クレイ研究所(ボストン)
    • Year and Date
      2007-04-22
    • Data Source
      KAKENHI-PROJECT-18104001
  • [Presentation] Overview of Lagrangian Floer theory, (3 talks)

    • Author(s)
      K. Fukaya
    • Organizer
      Overview of Lagrangian Floer theory, (3 talks)
    • Place of Presentation
      Tata Institute, Bombay
    • Year and Date
      2014-12-10 – 2014-12-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Lectures on Lagrangian FLoer theory on Toric manifolds,

    • Author(s)
      K. Fukaya
    • Organizer
      Lectures on Lagrangian FLoer theory on Toric manifolds,
    • Place of Presentation
      Center for Geometry and Physics, Pohang
    • Year and Date
      2014-06-10 – 2014-06-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Frobenius manifold structure and Lagrangian Floer theory for compact toric manifold

    • Author(s)
      Fukaya, Kenji (Part III), Hiroshi Ohta (Part II), Kaoru Ono (Part I)
    • Organizer
      Primitive forms and related subjects
    • Place of Presentation
      Kavli IPMU, the University of Tokyo
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
  • [Presentation] Cyclic homology in Lagrangian Floer theory and pseudo-holomorphic curve.

    • Author(s)
      K. Fukaya
    • Organizer
      (3 talks) in Conference - Loop spaces in geometry and topology,
    • Place of Presentation
      University of Nante
    • Year and Date
      2014-09-01 – 2014-09-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-23224002
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    # of Collaborated Products: 0 results
  • 196.  江森 良太郎
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 197.  菅沼 香織
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 198.  佐藤 瑛子
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 199.  ONO Hajime
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 13 results

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