Kato Tsuyoshi

カトウツヨシ | Kato Tsuyoshi

Affiliation and department：

Research field (1)： Geometry

Research theme for competitive and other funds (29)：

2024 - 2029 離散戸田格子の拡張による古典直交関数系と不変分布・一般化ギブス測度の新展開
2022 - 2027 サイバーグ・ウイッテン理論の進化と4次元微分トポロジーへの応用
2019 - 2024 Analysis of discrete Integrable systems by probability theory based on Pitman's transformation
2017 - 2022 Index theorem and Topological surface state
2017 - 2021 Construction of the covering monopole map and its applications

2017 - 2020 Pentagram map in tropical geometry and its application to discrete Morse theory

2016 - 2020 Various invariants of 3 and 4-manifolds and their applicationsUe

2013 - 2017 Moduli theory of non linear elliptic operators over non compact manifolds

2013 - 2016 Theory of classical orthogonal polynomials in terms of discrete integrable systems and its applications

2012 - 2016 Relations between invariants of low-dimensional manifolds and their geometric structures

2011 - 2016 Proof of Homological Mirror Symmetry

2010 - 2012 Research on systems of the biorthogonal functions, discrete andultradiscrete integrable systems, and their applications

2010 - 2012 Gauge theory with infinite group actions

2010 - 2012 A generalization of the Atiyah-Singer Index Theorem on Noncommutative manifolds

2011 - 2011 非線形方程式のモジュライ空間の幾何学的応用

2008 - 2010 Topology of low dimensional manifolds with various geometric structures

2007 - 2010 gauge theory and homotopy theory

2007 - 2010 Geometry of Moduli Spaces and its Application to Infinite Analysis

2006 - 2010 New development of geometry based on topological field theory

2007 - 2009 Noncommutative Geometry and equivariant index theorem for twisted group actions

2006 - 2009 Non commutative geometry and moduli spaces of holomorphic curves

2006 - 2007 The study of Low-dimensicnal manifolds with various geometric structures

2003 - 2005 非可換機何学における概正則曲線の研究

2001 - 2005 Moduli space, Homotopical algebra, Field theory

2001 - 2002 非可換ゲージ理論の研究

1997 - 2000 Moduli space and infinite dimensional geometry

1999 - 1999 ノビコフ予想の研究

1996 - 1996 高位の符号数のホモトピー不変性と無限離散群

1996 - 1996 高位の符号数のホモトピー不変性

Show all

Papers (40)：

Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya. Morse inequalities for noncompact manifolds. arXiv. 2024. 2411.04463. 1-28
Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya. Vector fields on non-compact manifolds. Algebraic and geometric topology. 2023. accepted. 1-12
T. Kato, D. Kishimoto, M. Tsutaya. Homotopy types of spaces of finite propagation unitary operators on Z. Homotopy, homology and applications. 2023. 25. 1. 375-400
David Croydon, Tsuyoshi Kato, Makiko Sasada, Satoshi Tsujimoto. Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation. Memoirs of the American Mathematical Society. 2023. 283. 1398. 1-99
Tsuyoshi Kato, Daisuke Kishimoto, Nobuhiro Nakamura, Kouichi Yasui. Upper bounds for virtual dimensions of Seiberg-Witten moduli spaces (revised version). arXiv. 2023. 2111. 15201. 1-20

ｍore...

Books (1)：

Dynamical scale transform in tropical geometry
Tokyo : World Scientific 2016 ISBN:9814635367

Lectures and oral presentations (51)：

Homotopy type of finitely propagated unitary operators and its applications
(2024)
Homotopy type of finitely propagated unitary operators and its application
(2024)
Homotopy type of finitely propagated unitary operators and its applications
(Australia-China-Japan-Singapore-U.S.- Index Theory Conference 2024)
Covering monopole map and aspherical 10/8-conjecture
(Lectures on low dimensional topology 2024)
Homotopy type of finitely propagated unitary operators and its application
(Workshop on differential geometry 2023)

ｍore...

※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

Return to Previous Page