### 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

### 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,

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 - On the rational cohomology of the total space of the universal fibration withanelliptic fibre

Katsuhiko Kuribayashi

Contemporary Math., 519, 165-179, 2010, Refereed - 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 - 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