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NATSUME TOSHIKAZU  夏目 利一

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NATSUME Toshikazu  夏目 利一

夏目 利一

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Researcher Number 00125890
Affiliation (based on the past Project Information) *help 2015: 名古屋工業大学, 工学系研究科, 教授
2012: 名古屋工業大学, 工学系研究科, 教授
2009: 名古屋工業大学, 工学系研究科, 教授
2008: Nagoya Institute of Technology, 大学院・工学研究科, 教授
2006 – 2008: Nagoya Institute of Technology, Graduate School of Engineering, Professor of Mathematics, 工学研究科, 教授 … More
2007: 名古屋工業大学, 工学(系)研究科, 教授
1997 – 2006: 名古屋工業大学, 工学部, 教授
2004 – 2005: Nagoya Institute of Technology, Graduate School of Engineering, Professor of Mathematics, 大学院・工学研究科, 教授
2003: Nagoya Institute of Technology, Faculty of Technology, Professor, 工学研究科, 教授
1995 – 1996: 立命館大学, 理工学部, 教授
1987: 埼玉大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Global analysis / Global analysis / 解析学
Except Principal Investigator
Geometry / Geometry / 解析学 / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
C^*-algebra / C*環 / C^*-環 / 非可換幾何学 / quantization / cyclic cohomology / K-theory / 量子化 / noncommutative geometry / Poisson manifold … More / 厳密量子化 / ポアソン多様体 / フレドホルム指数 / 擬微分作用素 / Fredholm index / Atiyah-Singer index theorem / pseudo-differential operator / 巡回コサイクル / K群 / アティヤー・シンガー型指数定理 / Anosov foliations / 非可換幾何 / C*-環 / サイクリック・コホモロジー / K理論 / アノソフ葉層 / analytic deformation / symplectic manifold / 非可換多様体 / シンプレクティック多様体 / 非可換機何学 / 解析的変形 / Strict quantization / strict deformation quantization / deformation quantization / C^*環 / 変形量子化 / K-Theory / C^*-algebraic deformation quantization, / Weyl quantization, / Atiyah-Singer-type index theorem, / Fredholm index, / pseudodifferential operator, / Weyl量子化 / Atiyah-Singer型指数公式 / C^*-環的変形量子化 / K-理論 / C^*-環的変型量子化 / ワイル量子化 / アティヤ・シンガー型指数定理 / ねじれK群 / サイクリックコサイクル / ねじれスペクトラルトリプル / トリプル / スペクトラル / 量子断面曲率 / 量子曲面 … More
Except Principal Investigator
K理論 / 巡回コホモロジー / 指数定理 / 非可換幾何学 / 葉層構造 / エータ不変量 / THE INDEX THEOREM / CYCLIC COHOMOLORY / NONCOMMUTATIVE GEOMETRY / Godbillon-Vey不変量 / Fredholm Universe / K-THEORY / スペクトル流 / Seiberg-Witten Invariants / 4 dimensional Manifolds / Equivariant Homotopy Theory / Chromatic Tower / Stable Homotopy Category / adjunction inequality / Seiberg-Witten不変量 / 4次元多様体 / 同変ホモトピー論 / chromatic tower / 安定ホモトピー圏 / K-TEHORY / 非可換幾何 / 葉層多様体 / 佐々木多様体 / 接触構造 / 位相幾何学 / 幾何学 / Van Vleckの公式 / Wiener積分 / 確率解析 / Godbillon-Vey 不変量 / Sasakian manifold / Contact structure / Foliation / Eta invariant / Cyclic cohomology / K-theory / Index Theorem / Non-commutative Geometry / C^* ALGEBRA / FOLIATION / ETA INVARIANT / SCALAR CURVATURE / C^*環 / スカラー曲率 / Characteristic Classes / Obstruction Theory / Seiber-Witten不変量 / charomotic tower / 特性類 / 障害理論 / SPECTRAL FLOW / Adjunction Inequality / K-Theory / Kervaire Invariant Problem / 連結和 / 安定ホモトピーSeiberg-Witten不変量 / Nilpotency / Adamsスペクトラル系列 / BP理論 / 安定ホモトピー論 / Kervaire不変量問題 / Thom Complex / Weighted Projective Space / CW-Spetrum / Mod 8 Lens Space / KO-Homology Equivalence / K-Localization Theory / Complex K-Theory / Real K-Theory / アダムス作用素 / レンズ空間 / 実射影空間 / Thom複体 / CWスペクトラム / 荷重複素射影空間 / 法8レンズ空間 / KOホモロジー同値 / K局所化理論 / 複素K理論 / 実K理論 / SYMPLECTIC GEOMETRY / spectral flow / Maslov類 / K-理論 / 非可換微分幾何学 / シンプレクティック幾何 / Selberg trance formula / local time / Jacobi field / Van Vleck formula / path integral / Wiener integral / stochastic analysis / Wiener測度 / Selbergの跡公式 / 局所時間 / Jacobi場 / 経路積分 / ルールド構造 / サイクリックコホモロジー / 部分多様体 / 磁気面 / 有限要素法 / 体質的スペクトル / 線形化MHD作用素 / 磁気流体 / Godbillon-Vey類 / イタリア:中国:アメリカ / 国際研究者交流 / Nyquist rate / sampling / eigenvalue / spectrum / Schrodinger operator / Differential equation / 磁場を持つSchrodinger作用素 / 漸近理論 / Malliavin解析 Less
  • Research Projects

    (20 results)
  • Research Products

    (20 results)
  • Co-Researchers

    (42 People)
  •  Development of the index theorem on foliated manifolds

    • Principal Investigator
      Moriyoshi Hitoshi
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  A generalization of the Atiyah-Singer Index Theorem on Noncommutative manifolds

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Noncommutative Geometry and equivariant index theorem for twisted group actions

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Noncommutative Geometry of Quantum SurfacesPrincipal Investigator

    • Principal Investigator
      夏目 利一
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Nagoya Institute of Technology
  •  Non-commutative Geometry and Applications of twisted K-theory to Index theorem

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  The Atiyah-Singer index theorem on hyperbolic spaces and noncommutative geometryPrincipal Investigator

    • Principal Investigator
      NATSUME Toshikazu
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Nagoya Institute of Technology
  •  Quantization of Anosov foliations and noncommutative geometryPrincipal Investigator

    • Principal Investigator
      NATSUME Toshikazu
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Nagoya Institute of Technology
  •  Study of Non-Commutative Geometry focusing on the Index theorem, and low-dimensional maniflod theory,

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Homotopy Theory and its Aplications

    • Principal Investigator
      MINAMI Norihiko
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya Institute of Technology
  •  Analytic deformation of Poisson manifolds and noncominutative geometryPrincipal Investigator

    • Principal Investigator
      NATSUME Toshikazu
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Nagoya Institute of Technology
  •  Non-Commutative Geometry and the Spectral Flow Index Theorem

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Global Study of the Stable Homotopy Category and the Kervaire Invariant Problem

    • Principal Investigator
      MINAMI Norihiko
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya Institute of Technology
  •  Quantization of Poisson manifolds and noncommutative geometryPrincipal Investigator

    • Principal Investigator
      NATSUME Toshikazu
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Nagoya Institute of Technology
  •  The Index Theorem and Analytic Secondary Invariants in Symplectic Geometry

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
      Hokkaido University
  •  The Classification of Manifolds based on K-Theory

    • Principal Investigator
      YOSHIMURA Zen-ichi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya Institute of Technology
  •  Weyl quantization and an index theorem for pseudodifferential operatorsPrincipal Investigator

    • Principal Investigator
      NATSUME Toshikzau
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya Institute of Technology
  •  Stochastic Analysis and Asymptotics

    • Principal Investigator
      IKEDA Nobuyuki
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ritsumeikan University
  •  確率解析と関連の諸問題

    • Principal Investigator
      IKEDA Nobuyuki
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ritsumeikan University
  •  偏微分作業のスペクトルの構造

    • Principal Investigator
      荒井 正治
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Ritsumeikan University
  •  微分方程式の解の構造の研究とその応用

    • Principal Investigator
      加古 孝
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Saitama University

All 2008 2006 2005 2003

All Journal Article Book

  • [Book] Operator algebras and geometry2008

    • Author(s)
      森吉仁志, 夏目利一
    • Total Pages
      14
    • Publisher
      American Mathematical Society
    • Data Source
      KAKENHI-PROJECT-19540213
  • [Book] Translations of Mathematical Monographs(Operator Algebras and Geometry)2008

    • Author(s)
      H.Moriyoshi, T.Natsume
    • Data Source
      KAKENHI-PROJECT-19540099
  • [Book] Operator Algebras and Geometry2008

    • Author(s)
      H.Moriyoshi and T.Natsume
    • Total Pages
      150
    • Publisher
      American Mathematical Society
    • Data Source
      KAKENHI-PROJECT-19540213
  • [Book] Operator Algebras and Geometry2008

    • Author(s)
      H. Moriyoshi, T. Natsume
    • Total Pages
      155
    • Publisher
      American Mathematical Society
    • Data Source
      KAKENHI-PROJECT-19540099
  • [Book] アメリカ数学会2008

    • Author(s)
      夏目利一、森吉仁志
    • Total Pages
      146
    • Publisher
      Operator Algebras and Geometry
    • Data Source
      KAKENHI-PROJECT-19540213
  • [Book] 数理物理への誘い5(河東泰之編)2005

    • Author(s)
      夏目 利一
    • Publisher
      遊星社
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540203
  • [Book] A strange world of nonccommutative geometry (in Japanese)2005

    • Author(s)
      T.Natsume
    • Publisher
      An invitation to mathematical physics(Edit. : Y.Kawahigashi)(Yuseisha)
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540192
  • [Book] 数理物理への誘い5(河東泰之編)2005

    • Author(s)
      夏目 利
    • Publisher
      遊星社
    • Data Source
      KAKENHI-PROJECT-15540203
  • [Book] A strange world of nonccommutative geometry(in Japanese), An invitation to mathematical physics 5(Edit. : Y.Kawahigashi)2005

    • Author(s)
      T.Natsume
    • Publisher
      Yuseisha
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540203
  • [Book] 数理物理への誘い5(河東泰之編)2005

    • Author(s)
      夏目 利一
    • Publisher
      遊星社
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540192
  • [Journal Article] Noncommutative three-spheres and the Dirac operators.2006

    • Author(s)
      T.Natsume
    • Journal Title

      International Workshop on Noncommutative Geometry, Kyoto, 2006 (Kyoto, Japan) (Invited talks)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540192
  • [Journal Article] Some noncommutative spheres2005

    • Author(s)
      T.Natsume
    • Journal Title

      Lecture Notes in Physics, Quantum field theory and noncommutative geometry 662

      Pages: 57-66

    • Data Source
      KAKENHI-PROJECT-17540192
  • [Journal Article] A down-to-earth proof of the Atiyah-Singer index theorem.2005

    • Author(s)
      T.Natsume
    • Journal Title

      Spectral analysis, global analysis and PDE 2005, Keio University COE program (Invited talks)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540192
  • [Journal Article] An Atiyah-Singer-type index formula on the hyperbolic spaces.2005

    • Author(s)
      T.Natsume
    • Journal Title

      International Workshop on Noncommutative Geometry and Physics, Beijing 2005 (Bejing, China) (Invited talks)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540192
  • [Journal Article] Strict quantizations of symplectic manifolds2003

    • Author(s)
      Natsume et al.
    • Journal Title

      Lett.Math.Phys. 66

      Pages: 73-89

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540089
  • [Journal Article] Strict quantizations of symplectic manifolds2003

    • Author(s)
      Natsume, Toshikazu, Nest, Ryszard, Peter, Ingo
    • Journal Title

      Lett.Math.Phys. 66

      Pages: 73-89

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540089
  • [Journal Article] A new family of nnoncommutative 2-spheres2003

    • Author(s)
      T.Natsume, C.L.Olsen
    • Journal Title

      Journal of Functional Analysis 202

      Pages: 363-391

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540203
  • [Journal Article] A new family of noncommutative 2-spheres2003

    • Author(s)
      Natsume, Toshikazu, Olsen, Catherine L.
    • Journal Title

      J.Funct.Anal. 202

      Pages: 363-391

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540089
  • [Journal Article] Strict quantization of symplectic manifolds2003

    • Author(s)
      T.Natsume, R.Nest, I.Peter
    • Journal Title

      Letters in Mathematical Pysics 66

      Pages: 73-89

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540203
  • [Journal Article] A new family of noncommutative 2-spheres2003

    • Author(s)
      T.Natsume, C.L.Olsen
    • Journal Title

      Journal of Functional Analysis 202

      Pages: 363-391

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540203
  • 1.  MORIYOSHI Hitoshi (00239708)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 5 results
  • 2.  ADACHI Tosiaki (60191855)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 3.  MAEDA Yoshiaki (40101076)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  ONO Kaoru (20204232)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 5.  NAKAMURA Yoshihiro (50155868)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  KAMETANI Yukio (70253581)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  OHYAMA Yoshiyuki (80223981)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  YOSHIMURA Zen-ichi (70047330)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  TATE Tatsuya (00317299)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  IKEDA Nobuyuki (00028078)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  ARAI Masharu (20066715)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  MIYAZAKI Naoya (50315826)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  MITSUMATSU Yoshihiko (70190725)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  MINAMI Norihiko (80166090)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  TAKAYAMA Yukihide (20247810)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  YAMADA Osanobu (70066744)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  YAMADA Toshio (10037749)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  SHI'NYA Hitoshi (70036416)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  TOSE Nobuyuki (00183492)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  KATO Tsuyoshi (20273427)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  SAEKI Akihiro (50270997)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  YAMAKISHI Masakazu (40270996)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  MIYAZAKI Takuya (10301409)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  WATAMUAR Satoshi (00201252)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  KATSURA Takeshi (50513298)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  MATSUMOTO Makoto (70231602)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  NAKAJIMA Kazufumi (10025489)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  NISHIDA Goro (00027377)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  FURUTA Mikio (50181459)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  SHIMAKAWA Kazuhisa (70109081)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  TAKAKURA TATSURU (30268974)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  成木 勇夫 (90027376)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  石井 秀則 (60159671)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  加古 孝 (30012488)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  木村 真琴 (30186332)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  酒井 文雄 (40036596)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  水谷 忠良 (20080492)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  奥村 正文 (60016053)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  山田 浩嗣 (50210472)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  神田 雄高 (30280861)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  河澄 響矢 (30214646)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  上野 一男 (10193822)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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※ この処理は、研究者本人だけが実行できます。

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