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KAWAKUBO Katsuo  川久保 勝夫

ORCIDConnect your ORCID iD *help
Researcher Number 50028198
Affiliation (based on the past Project Information) *help 1996 – 1997: 大阪大学, 大学院理学研究科, 教授
1995 – 1997: Osaka Univ.fac.of sci.professor, 大学院・理学研究科, 教授
1989 – 1995: Osaka Univ. Fac. Sci., Professor, 理学部, 教授
1986 – 1988: 大阪大学, 理学部, 助教授
1986: 阪大, 理学部, 助教授
Review Section/Research Field
Principal Investigator
代数学・幾何学 / Geometry
Except Principal Investigator
代数学・幾何学 / Geometry / 解析学 / Algebra
Keywords
Principal Investigator
結び目 / Dynamical System / Konot / Homology / Homotopy / Foliations / Manifold / Topology / 葉層 / モデュライ … More / 変換群 / 力学系 / シンプレクティック多様体 / Jones多項式 / ブレイド群 / リンク / 特異点 / ホモロジー / ホモトピー / 葉層構造 / Intersection cohomology / 多様体 / 位相空間 / トポロジー / Alexander polynomial / Lefschetz ring / Hecke algebra / Knot / Burnside ring / Homotopy representation / Cobordism / Fixed point theorems / Whitehead群 / 埋め込み / Lefschetz環 / モジュライ空間 / 線型表現 / 制限準同型 / 誘導準同型 / Lefachety環 / G同相 / G-sコボルディズム / コンパクト・リー群 / アレクサンダー多項式 / レフシェッツ環 / ヘッケ環 / バーンサイド環 / ホモトピー表現 / コボルディズム / 不動点定理 / YangーBaxter方程式 / Alexander多項式 / 組み紐群 / ケ-ラ-アインシュタイン多様体 / Sーコボルディズム / 誘導定理 / ホワイトヘッド群 … More
Except Principal Investigator
結び目 / 力学系 / 群作用 / ヘッケ環 / 錐多様体 / 代数群の作用 / 一般型代数曲面 / 量子不変量 / 葉層構造 / 特異点論 / ホモトピー論 / ゲージ理論 / トポロジー / 多様体 / Floer Homology / 3次元多様体 / 結び目理論 / 絡み目の不変量 / K一群 / モジュライ空間 / ケーラー多様体 / 連分数展開 / 基本群 / 変換群 / Riemann-Roch theorem / Einstein-Kaehler metric / manifold of dimension 3 or 4 / Hecke algebra / fundamental group / algebraic surface of general type / homology plane / 3-dimensional cancellation problem / ベクトル場 / コンパクト・ケーラー・アインシュタイン多様体 / リーマン多様体上の測地線 / 対称空間上の球関数 / K3曲面の非ケーラー的退化 / 位相的可縮な代数曲面 / Einstein-Kaehler計量 / 対数的エンリケス曲面 / ネタ-の不等式 / 位相的可縮曲面 / リ-マン・ロッホの定理 / Einstein-Kaehler / 3、4次元多様体 / ホモロジ-平面 / 3次元消去問題 / once-punctured forus / quasi-Fuchsian group / 2-bridge knot / cone-manifold / hyperbolic structure / Heegaard splitting / 穴開きトーラス / コーン多様体 / 放物的変換 / Riley slice / 離散性判定 / 曲面束 / ファイバー結び目 / 標準的分解 / フォード領域 / 凝フックス群 / 一点穴開きトーラス / 擬フックス群 / 2橋結び目 / 双曲構造 / ヘガード分解 / Inverse Problems / Concentration Phenomena / Hyperplanes Arrangements / Hyperbolic Geometries / Cone Manifolds / Types and Proof Theory / Nonlinear evolution equations / Real Analytic Methods / レフシェッツ環 / 無限学の解析 / 代数解析学と表現論 / 実解析的手法 / 非線型発展方程式 / 反応拡散系 / モーメント写像 / 型・証明論 / 量子アフィン代数 / 型図子 / 迷問題 / 逆問題 / 集中現象 / 超平面配置 / 双曲幾何 / 錘多様体 / 型及び証明論 / 非線形発展方程式 / 実解析的方法 / moduli space / foliation / dynamical systems / singularity theory / gauge theory / transformation theory / homotopy theory / 3 manifolds / 変換群論 / BMW algebra / Surface of general type / Quantum invariant / Hodge structure / Log geometry / Hyper Kahler manifold / Open algebraic surfaces / Theorem of Abhyankar-Moh / 射影代数多様体 / アフィン空間 / BMW代数 / Hodge構造 / Log幾何学 / 超ケーラー多様体 / 開代数曲面 / Abhyankar-Mohの定理 / Dynamical system / Transformation group / Mathematical physics / Foliation / Theory of singularity / 4 dimensional manifold / Homotopy theory / Knot theory / 特異点 / 接触幾何学 / 数理物理学 / 葉層構造理論 / 4次元多様体 / Knot / Conformal Field Theory / Gauge Theory / Homology / Dynamical System / Topology / Manifold / マンデルブロート / フラクタル / カオス / ラグランジアンホモロジー / インスタントン / フレアーホモロジー / 共形場理論 / フレア-ホモロジー / ホモロジー / Symplectis Geometry / Maslov Index / Heegaard Splitting / Casson Invariant / Mapping Class Group / 3-Manifold / Knot Theory / マスロフ(Maslov)指数 / Rー行列 / Kー2方程式のモノドロミ-表現 / キャッソン(Casson)不変量 / 写像類群 / DeligneーMumfordのコンパクト化 / Verlindeの等式 / 位相的量子場理論 / HassーThompson予想 / Mathieuの問題 / Heegaard種数 / コンパニオン(Companion) / 衛星結び目(Satellite Knet) / 衛星結び目 / Floerホモロジ- / 量子群 / Casson不変量 / 曲面の写像類群 / Heegaard分解 / スーパーシンギュラー素点 / モジュラー方程式 / 虚2次体 / 虚数乗法論 / ジーゲル関数 / クロネッカー極限公式 / 半単純リー環の共役類 / 既約表現 / 有限群 / 代数群 / KdV方程式 / アインシュタイン計量 / 幾何学的不変量 / 極小曲面 / 指標 / ホモトピー同値 / スカラー曲率 / 放物束 / エルミート・アインシュタイン計量 / ベクトル束 / 等分点の体 / ガロワ群 / 超楕円曲線 / ヤコビ多様体 / アーベル多様体 / モジュライ / ヒッグス・バンドル / 商特異点 / 小平次元 / ホモロジ-代数曲面 / ケ-ラ-Cー空間 / 等質空間 / 主ト-ラス束 / リ-マニアンサブマ-ション / アインシュタイン多様体 / 有限群の表現 / リ-環 / 可解格子模型 / 多元環の表現 Less
  • Research Projects

    (20 results)
  • Co-Researchers

    (58 People)
  •  Heegaand spliffings and hyperbolic structures of 3-manifolds

    • Principal Investigator
      SAKUMA Makoto
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  COMPREHENSIVE STUDY OF TOPOLOGY

    • Principal Investigator
      MORITA Shigeyuki
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      University of Tokyo
  •  SEEKING FURTHER POSSIBILITIES OF MATHEMATICS

    • Principal Investigator
      YOSHIKAWA Atsushi
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      KYUSHU UNIVERSITY
  •  Geometric Study of Algebraic Systems

    • Principal Investigator
      MIYANISHI Masayoshi
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  ケーラー多様体上のベクトル束の研究

    • Principal Investigator
      FUJIKI Akira
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  General study of topology

    • Principal Investigator
      NISHIDA Goro
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  Fixed point theorems and cobordismPrincipal Investigator

    • Principal Investigator
      KAWAKUBO Katsuo
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  アーベル多様体の整数論

    • Principal Investigator
      山本 芳彦
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  STUDIES OF TOPOLOGY FROM VARIOUS VIEW POINTS

    • Principal Investigator
      FUKUDA Takuo
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  アインシュタイン多様体の研究

    • Principal Investigator
      坂根 由昌
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  代数曲面の特異点と位相

    • Principal Investigator
      宮西 正宜
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  同変Sーコボルディズム理論と誘導定理Principal Investigator

    • Principal Investigator
      川久保 勝夫
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  Co-operative Research of Topology

    • Principal Investigator
      KATO Mitsuyoshi
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyushu University
  •  ヘッケ環の表現論

    • Principal Investigator
      KAWANAKA Noriaki
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  クロネッカー極限公式と虚数乗法論

    • Principal Investigator
      山本 芳彦
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  Problems surrounding manifolds

    • Principal Investigator
      MIYANISHI Masayoshi
    • Project Period (FY)
      1988 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  有限群と代数群の表現論

    • Principal Investigator
      川中 宣明, 川中 宜明
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  群作用と力学系の研究

    • Principal Investigator
      中岡 稔
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  幾何学的不変量

    • Principal Investigator
      尾関 英樹
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  Co-operative Research of TopologyPrincipal Investigator

    • Principal Investigator
      KAWAKUBO Katsuo
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  • 1.  KAWANAKA Noriaki (10028219)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 2.  MIYANISHI Masayoshi (80025311)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 3.  SAKANE Yusuke (00089872)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  MURAKAMI Jun (90157751)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  KAWAUCHI Akio (00112524)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  KASUE Atsushi (40152657)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  MATSUMOTO Yukio (20011637)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  NISHIDA Goro (00027377)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  小林 毅 (00186751)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  KOJIMA Sadayoshi (90117705)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  小磯 深幸 (10178189)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  FUJIKI Akira (80027383)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  OZEKI Hideki (60028082)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  MORITA Shigeyuki (70011674)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  OKA Mutsuo (40011697)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  山本 芳彦 (90028184)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  MATSUMOTO Takao (50025467)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  YAMANE Hiroyuki (10230517)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  TSUNODA Shinichiro (60144424)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  NAGASAKI Ikumitsu (50198305)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  KATO Mitsuyoshi (60012481)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  FUKUDA Takuo (00009599)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  金子 昌信 (70202017)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  張 徳祺 (20217269)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  落合 豊行 (70016179)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  NOGURA Tsugunori (00036419)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  KATO Hisao (70152733)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  KONNO Kazuhiro (10186869)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  USUI Sanpei (90117002)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  YOSHIKAWA Atsushi (80001866)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  YAMAMOTO Masahiro (50182647)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  TAKAGI Izumi (40154744)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  MIWA Tetsuji (10027386)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  SAKUMA Makoto (30178602)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  EUOKI Tchiro (20146806)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  MABUCHI Toshiki (80116102)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  YAMASHITU Yasushi (70239987)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  WADA Masaaki (80192821)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  SAKAI Katsuro (50036084)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  MURAKAMI Shingo (80028068)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  宇野 勝博 (70176717)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  谷口 義治 (20135651)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  小川 裕之 (70243160)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  中岡 稔 (70028075)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  中尾 慎太郎 (90030783)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  辻下 徹 (10107063)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  永尾 汎 (40028080)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  磯崎 洋 (90111913)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  菊池 和徳 (40252572)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  佐藤 肇 (30011612)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  松元 重則 (80060143)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  大島 利雄 (50011721)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  野口 潤次郎 (20033920)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 54.  黒川 信重 (70114866)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 55.  中西 康剛 (70183514)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 56.  金信 泰造 (00152819)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 57.  伊吹山 知義 (60011722)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 58.  横川 光司
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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