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

  • Local systems in diffeology
    Katsuhiko Kuribayashi
    Journal of Homotopy and Related Structures, 2024
    Lead
  • On multiplicative spectral sequences for nerves and the free loop spaces
    Katsuhiko Kuribayashi
    Topology and its Applications, 2024
    Lead
  • Cartan calculi on the free loop spaces
    K. Kuribayashi, T. Naito, S. Wakatsuki and T. Yamaguchi
    Journal of Pure and Applied Algebra, 2024
    Lead
  • 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
  • Remarks on derived string topology, preprint (2017)
    Katsuhiko Kuribayashi, Luc Menichi and Takahito Naito
    2017
    Lead