Rchr
J-GLOBAL ID:201001046045624322
Update date: Jan. 30, 2024
KURIBAYASHI Katsuhiko
クリバヤシ カツヒコ | KURIBAYASHI Katsuhiko
Affiliation and department:
Job title:
Professor
Homepage URL (1):
http://marine.shinshu-u.ac.jp/~kuri/home.html
Research field (1):
Geometry
Research keywords (3):
Rational Homotopy theory
, Diffeology
, String topology
Research theme for competitive and other funds (17):
- 2016 - 2018 圏論的アプローチによる階層体の研究
- 2013 - 2016 Homotopy noncommutativity of loop spaces
- 2011 - 2016 Proof of Homological Mirror Symmetry
- 2013 - 2015 小圏のコホモロジー論によるアソシエーションスキーモイドの研究
- 2008 - 2011 Coho mology of discrete groups and characteristic classes of flat bundles
- 2001 - 2002 A representation formula for solutions of equations with delay in the phase space and its applications
- 2000 - 2001 On the study of cohomology of Chevalley groups using the etale cohomology thoery
- 1998 - 1999 ループ群の分類空間のコホモロジー環について
- 1997 - 1997 組み合せ表現論と環論的超幾何関数論
- 1996 - 1996 多様体の安定ホモトピー型とその応用
- 1995 - 1995 ストリニグ類の消滅問題について
- 1994 - 1994 自由ループ空間の有理(実)係数コホモロジー環の代数構造について
- ゴレンシュタイン空間上で展開される導来ストリングトポロジーの研究
- 評価写像モデルによるリー群の可視化問題とシンプレクティック類の拡張に関する研究
- 空間の代数的モデルを用いた微分コトージョン積の解析
- ディフェオロジカル de Rham 理論の創発研究
- 位相的場の理論と可微分スタックに現れるストリングトポロジーの非自明性の検証研究
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Papers (42):
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Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki and Toshihiro Yamaguchi. A reduction of the string bracket to the loop product. to appear in Algebraic & Geometric Topology. 2023
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Katsuhiko Kuribayashi. A comparison between two de Rham complexes in diffeology. Proceedings of the American Mathematical Society. 2021. 149. 4963-4972
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Katsuhiko Kuribayashi. Simplicial cochain algebras for diffeological spaces. to appear in Indagationes Mathematicae. 2020
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Katsuhiko Kuribayashi. On the whistle cobordism operation in string topology of classifying spaces. Documenta Mathematica. 2020. 25. 125-142
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Katsuhiko Kuribayashi, Luc Menichi. The Batalin-Vilkovisky algebra in the string topology of classifying spaces. Canadian Journal of Mathematics. 2019. 71. 843-889
more...
MISC (5):
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Katsuhiko Kuribayashi. On Félix and Tanré rational models for polyhedral products, preprint (2023). 2023
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Katsuhiko Kuribayashi. On multiplicative spectral sequences for nerves and the free loop spaces, preprint (2023). 2023
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Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki and Toshihiro Yamaguchi. Cartan calculi on the free loop spaces, preprint (2022). 2022
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Katsuhiko Kuribayashi. Local systems in diffeology, preprint (2021). 2021
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Katsuhiko Kuribayashi, Luc Menichi and Takahito Naito. Remarks on derived string topology, preprint (2017). 2017
Professional career (1):
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