NATSUME TOSHIKAZU 夏目利一

… Alternative Names

NATSUME Toshikazu 夏目利一

夏目利一

Less

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

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

NATSUME TOSHIKAZU 夏目 利一

NATSUME Toshikazu 夏目 利一

夏目 利一

Research Projects

Research Products

Co-Researchers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Noncommutative Geometry of Quantum SurfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The Atiyah-Singer index theorem on hyperbolic spaces and noncommutative geometryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Quantization of Anosov foliations and noncommutative geometryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Analytic deformation of Poisson manifolds and noncominutative geometryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Quantization of Poisson manifolds and noncommutative geometryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

NATSUME TOSHIKAZU 夏目利一

NATSUME Toshikazu 夏目利一

夏目利一