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KURIBAYASHI Katsuhiko|Shinshu University Researcher List

KURIBAYASHI Katsuhiko

Academic Assembly School of Science and Technology Institute of Science

Faculty of Science Department of Mathematics Course of Mathematical Sciences 

Professor 

Researcher Information

Field Of Study

  • Geometry, Geometry

Career

  • 2014
    信州大学学術研究院 (理学系) 教授
  • 2005 - 2014
    Shinshu University, Faculty of Science Professor
  • 2004 - 2005
    Shinshu University, Faculty of Science Associate Professor
  • 1999 - 2004
    Okayama University of Science, Faculty of Science Associate Professor
  • 1995 - 1999
    Okayama University of Science, Faculty of Science
  • 1991 - 1995
    Gunma National College of Technology,

Educational Background

  • 1986, Shinshu University, Faculty of Science
  • 1991, Kyoto University, Graduate School, Division of Science, Mathematics
  • 1988, Shinshu University, Graduate School, Division of Natural Science, Mathematics
Research activity information

Paper

  • A reduction of the string bracket to the loop product
    Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki and Toshihiro Yamaguchi
    to appear in Algebraic & Geometric Topology, 2023
    Lead
  • A comparison between two de Rham complexes in diffeology
    Katsuhiko Kuribayashi
    Proceedings of the American Mathematical Society, 149, 4963-4972, 2021, Refereed
    Lead
  • Simplicial cochain algebras for diffeological spaces
    Katsuhiko Kuribayashi
    Indagationes Mathematicae, 31, 934-967, 04 Nov. 2020, Refereed電子ジャーナル
  • On the whistle cobordism operation in string topology of classifying spaces
    Katsuhiko Kuribayashi
    Documenta Mathematica, 25, 125-142, 2020, Refereed電子ジャーナル
  • The Batalin-Vilkovisky algebra in the string topology of classifying spaces
    Katsuhiko Kuribayashi and Luc Menichi
    Canadian Journal of Mathematics, 71, 843-889, 2019, Refereed電子ジャーナル
  • A topos associated with a colored category
    Katsuhiko Kuribayashi and Yasuhide Numata
    Journal of Combinatorial Theory, Series A, (156), 142-163, 2018, Refereed電子ジャーナル
  • On the category of stratifolds
    Toshiki Aoki and Katsuhiko Kuribayashi
    Cahiers de Topologie et Géometrie Differentielle Catégoriques., 58, 131-160, 2017リポジトリ
  • The ghost length and duality between chain and cochain type levels
    Katsuhiko Kuribayashi
    Homology, Homotopy and Applications, 18, 107-132, 11 Aug. 2016, RefereedWebofScienceリポジトリ電子ジャーナル
  • On Mitchell's embedding theorem for a quasi-schemoid
    Katsuhiko Kuribayashi and Yasuhiro Momose
    Journal of Algebra, 456, 222-248, 2016WebofScienceリポジトリ電子ジャーナル
  • Derived string topology and the Eilenberg-Moore spectral sequence
    Katsuhiko Kuribayashi, Luc Menichi and Takahito Naito
    Israel Journal of Mathematics, 209, 745-802, 2015電子ジャーナル
  • On strong homotopy for quasi-schemoids
    Katsuhiko Kuribayashi
    Theory and Applications of Categories, 30, 1-14, 2015, RefereedWebofScienceリポジトリ
  • Association schemoids and their categories
    Katsuhiko Kuribayashi and Kentaro Matsuo
    Applied Categorical Structures, 23, 107-136, 2015WebofScienceリポジトリ電子ジャーナル
  • Behavior of the Eilenberg-Moorespectral sequence in derived string topology
    Katsuhiko Kuribayashi, Luc Menichi and Takahito Naito
    Topology and its Applications, 164, 24-44, 2014WebofScienceリポジトリ電子ジャーナル
  • Upper and lower bounds of the (co)chain type level of a space
    Katsuhiko Kuribayashi
    Algebras and Representation Theory, 16, 129-153, 2013WebofScienceリポジトリ電子ジャーナル
  • On the levels of maps and topological realization of objects in a triangulated category
    Katsuhiko Kuribayashi
    J. Pure and Appl. Algebra, 216(4), 752-765, 2012, RefereedWebofScienceリポジトリ電子ジャーナル
  • Rational visibility of a Lie group in the monoid of self-homotopy equivalences of a homogeneous space
    Katsuhiko Kuribayashi
    Homology, Homotopy and Applications, 13, 349-379, 2011, RefereedWebofScienceリポジトリ電子ジャーナル
  • On extensions of a symplectic class
    Katsuhiko Kuribayashi
    Differential Geometry and Its Applications, 29, 801-815, 2011, RefereedWebofScienceリポジトリ電子ジャーナル
  • The Hochschild cohomology ring of the singular cochain algebra of a space
    Katsuhiko Kuribayashi
    Annales de l'Institut Fourier, 61(5), 1381-1407, 2011WebofScienceリポジトリ電子ジャーナル
  • On the rational cohomology of the total space of the universal fibration withanelliptic fibre
    Katsuhiko Kuribayashi
    Contemporary Math., 519, 165-179, 2010, Refereed
  • A function space model approach to the rational evaluationsubgroups
    Yoshihiro Hirato, Katsuhiko Kuribayashi, Nobuyuki Oda
    Math. Z, 258(3), 521-555, 2008, RefereedWebofScienceリポジトリ電子ジャーナル
  • Iterated cyclic homology
    Katsuhiko Kuribayashi, Masaaki Yokotani
    Kodai Mathematical Journal, 30(1), 19-40, 2007, RefereedWebofScienceリポジトリ
  • An operadic model for a mapping space and its associated spectral sequence
    David Chataur, Katsuhiko Kuribayashi
    J. Pure and Appl. Algebra, 210(2), 321-342, 2007, RefereedWebofScienceリポジトリ電子ジャーナル
  • A rational splitting of a based mapping space
    Katsuhiko Kuribayashi, Toshihiro Yamaguchi
    Algebraic&Geometric Topology, 6, 309-327, 2006, Refereed
  • A rational model for the evaluation map
    Katsuhiko Kuribayashi
    Georgian Mathematical Journal, 13, 127-141, 2006, Refereed
  • Twisted tensor products related to the cohomology of the classifying spaces of loop groups
    Katsuhiko Kuribayashi, Mamoru Mimura, TetsuNishimoto
    Memoirs of the American MathematicalSociety, 849, 2006, Refereed
  • Eilenberg-Moore spectral sequence calculation of function space cohomology
    Katsuhiko Kuribayashi
    Manuscripta Mathematica, 114(3), 305-325, 2004, RefereedWebofScience
  • Module derivations and cohomological splitting of adjoint bundles
    Akira Kono, Katsuhiko Kuribayashi
    Fundamenta Mathematicae, 180, 199-221, 2003, Refereed
  • Module derivations and non triviality of an evaluation fibration
    Katsuhiko Kuribayashi
    Homology, Homotopy and Applications, 4(1), 87-101, 2002, Refereed
  • The cohomology of a pull-back on K-formal spaces
    Katsuhiko Kuribayashi
    Topology and its Applications, 125, 125-159, 2002, Refereed
  • On the Betti number of the space of invariant paths on the space whose cohomology is the exterior algebra with two generators
    Katsuhiko Kuribayashi
    Topology andits Appplications, 125, 161-170, 2002, Refereed
  • The S1-equivariant cohomology of homogeneous spaces as deformations of algebras
    Katsuhiko Kuribayashi
    The Bulletin of the London Mathematical Society, 33, 89-99, 2001, Refereed
  • On additive K-theory with the Loday-Quillen *-product
    Katsuhiko Kuribayashi, Toshihiro Yamaguchi
    Mathematica Scandinavica, 87, 5-21, 2000, Refereed
  • Mod p equivariant cohomology of homogeneous spaces
    Katsuhiko Kuribayashi
    Journal of Pure and Applied Algebra, 147, 95-105, 2000, Refereed
  • Module derivations and the adjoint action of a finite loop space
    Katsuhiko Kuribayashi
    Journal of Mathematics of Kyoto University, 39, 67-85, 1999, Refereed
  • The vanishing problem of the string class with degree 3
    Katsuhiko Kuribayashi, Toshihiro Yamaguchi
    Australian Mathematical Society.Journal. Series A. Pure Mathematics and Statistics, 64, 129-142, 1998, Refereed
  • The cohomology algebra of certain free loop spaces
    Katsuhiko Kuribayashi, Toshihiro Yamaguchi
    Fundamenta Mathematicae, 154, 57-73, 1997, Refereed
  • On the vanishing problem of string classes,
    Katsuhiko Kuribayashi
    Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics, 61, 258-266, 1996, Refereed
  • On the real cohomology of spaces of free loops on manifolds
    Katsuhiko Kuribayashi
    Fundamenta Mathematicae, 150, 173-188, 1996, Refereed
  • The cohomology ringof the space of loops on Lie Groupsand homogeneous spaces
    Katsuhiko Kuribayashi
    Pacific Journal of Mathematics, 163, 361-391, 1994, Refereed
  • The extension problem and the mod 2 cohomology of the space of free loops on Spin(N)
    Katsuhiko Kuribayashi
    Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 121, 91-99, 1992, Refereed
  • On the mod p cohomology of the spaces of free loops onthe Grassmann and Stiefel manifolds
    Katsuhiko Kuribayashi
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 43, 331-346, 1991, Refereed

MISC

  • On Félix and Tanré rational models for polyhedral products, preprint (2024)
    Katsuhiko Kuribayashi
    2024
    Lead
  • On multiplicative spectral sequences for nerves and the free loop spaces, preprint (2024)
    Katsuhiko Kuribayashi
    2024
  • Cartan calculi on the free loop spaces, preprint (2024)
    Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki and Toshihiro Yamaguchi
    2024
    Lead
  • Local systems in diffeology, preprint (2024)
    Katsuhiko Kuribayashi
    2024
  • Remarks on derived string topology, preprint (2017)
    Katsuhiko Kuribayashi, Luc Menichi and Takahito Naito
    2017
    Lead