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KURIBAYASHI Katsuhiko

Academic OrganizationAcademic Assembly School of Science and Technology Institute of ScienceTEL
Education and Research OrganizationFaculty of Science Department of MathematicsFAX
PositionProfessorMail Address
AddressWeb sitehttp://marine.shinshu-u.ac.jp/~kuri/home.html

Modified:07/09/2019

Profile

Assigned Class
Graduate School, Division of Science and Technology
Interdisciplinary Graduate School of Science and Technology
Research Field
Geometry
Current Subject
Algebraic models for topological spaces, Topology of mapping spaces, String topology
Keywords:mapping spaces, Hochschild (co)homology, operads, triangulated categories,model categories
Academic Background
Graduate School
Kyoto University , (Mathematics , Graduate School, Division of Science) , 1991
Shinshu University , (Mathematics , Graduate School, Division of Natural Science) , 1988

College
Shinshu University , (Faculty of Science) , 1986
Research Career
Research Career
2014-
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

Books, Articles, etc.
Articles
The BV-algebra in string topology of classifying spaces
Canadian Journal of Mathematics,to appear 2018
Author:Katsuhiko Kuribayashi and Luc Menichi


A topos associated with a colored category
Journal of Combinatorial Theory, Series A,(156):142--163 2018
Author:Katsuhiko Kuribayashi and Yasuhide Numata


On the category of stratifolds
Cahiers de Topologie et Géometrie Differentielle Catégoriques.,58:131–160 2017
Author:Toshiki Aoki and Katsuhiko Kuribayashi


The ghost length and duality between chain and cochain type levels
Homology, Homotopy and Applications,18:107-132. 2016(Aug. 11)
Author:Katsuhiko Kuribayashi


On Mitchell's embedding theorem for a quasi-schemoid
Journal of Algebra,456:222-248 2016
Author:Katsuhiko Kuribayashi and Yasuhiro Momose


Derived string topology and the Eilenberg-Moore spectral sequence
Israel Journal of Mathematics,209:745-802 2015
Author:Katsuhiko Kuribayashi, Luc Menichi and Takahito Naito


Association schemoids and their categories
Applied Categorical Structures,23:107-136 2015
Author:Katsuhiko Kuribayashi and Kentaro Matsuo


On strong homotopy for quasi-schemoids
Theory and Applications of Categories,30:1-14 2015
Author:Katsuhiko Kuribayashi


Behavior of the Eilenberg-Moorespectral sequence in derived string topology
Topology and its Applications,164:24-44 2014
Author:Katsuhiko Kuribayashi, Luc Menichi and Takahito Naito


Upper and lower bounds of the (co)chain type level of a space
Algebras and Representation Theory,16:129-153 2013
Author:Katsuhiko Kuribayashi


On the levels of maps and topological realization of objects in a triangulated category
J. Pure and Appl. Algebra,216(4):752-765 2012
Author:Katsuhiko Kuribayashi


The Hochschild cohomology ring of the singular cochain algebra of a space
Annales de l'Institut Fourier,61(5):1381-1407 2011
Author:Katsuhiko Kuribayashi


On extensions of a symplectic class
Differential Geometry and its Applications,29:801-815 2011
Author:Katsuhiko Kuribayashi


Rational visibility of a Lie group in the monoid of self-homotopy equivalences of a homogeneous space
Homology, Homotopy and Applications,13:349-379 2011
Author:Katsuhiko Kuribayashi


On the rational cohomology of the total space of the universal fibration withanelliptic fibre
Contemporary Math.,519:165-179 2010
Author:Katsuhiko Kuribayashi


A function space model approach to the rational evaluationsubgroups
Math. Z,258(3):521-555 2008
Author:Yoshihiro Hirato, Katsuhiko Kuribayashi, Nobuyuki Oda


An operadic model for a mapping space and its associated spectral sequence
J. Pure and Appl. Algebra,210(2):321-342 2007
Author:David Chataur, Katsuhiko Kuribayashi


Iterated cyclic homology
Kodai Mathematical Journal,30(1):19-40 2007
Author:Katsuhiko Kuribayashi, Masaaki Yokotani


Twisted tensor products related to the cohomology of the classifying spaces of loop groups
Memoirs of the American MathematicalSociety,849 2006
Author:Katsuhiko Kuribayashi, Mamoru Mimura, TetsuNishimoto


A rational model for the evaluation map
Georgian Mathematical Journal,13:127-141 2006
Author:Katsuhiko Kuribayashi


A rational splitting of a based mapping space
Algebraic&Geometric Topology,6:309-327 2006
Author:Katsuhiko Kuribayashi, Toshihiro Yamaguchi


Eilenberg-Moore spectral sequence calculation of function space cohomology
manuscripta mathematica,114(3):305-325 2004
Author:Katsuhiko Kuribayashi


Module derivations and cohomological splitting of adjoint bundles
Fundamenta Mathematicae,180:199-221 2003
Author:Akira Kono, Katsuhiko Kuribayashi


On the Betti number of the space of invariant paths on the space whose cohomology is the exterior algebra with two generators
Topology andits Appplications,125:161-170 2002
Author:Katsuhiko Kuribayashi


The cohomology of a pull-back on K-formal spaces
Topology and its Applications,125:125-159 2002
Author:Katsuhiko Kuribayashi


Module derivations and non triviality of an evaluation fibration
Homology, Homotopy and Applications,4(1):87-101 2002
Author:Katsuhiko Kuribayashi


The S1-equivariant cohomology of homogeneous spaces as deformations of algebras
The Bulletin of the London Mathematical Society,33:89-99 2001
Author:Katsuhiko Kuribayashi


Mod p equivariant cohomology of homogeneous spaces
Journal of Pure and Applied Algebra,147:95-105 2000
Author:Katsuhiko Kuribayashi


On additive K-theory with the Loday-Quillen *-product
Mathematica Scandinavica,87:5-21 2000
Author:Katsuhiko Kuribayashi, Toshihiro Yamaguchi


Module derivations and the adjoint action of a finite loop space
Journal of Mathematics of Kyoto University,39:67-85 1999
Author:Katsuhiko Kuribayashi


The vanishing problem of the string class with degree 3
Australian Mathematical Society.Journal. Series A. Pure Mathematics and Statistics,64:129-142 1998
Author:Katsuhiko Kuribayashi, Toshihiro Yamaguchi


The cohomology algebra of certain free loop spaces
Fundamenta Mathematicae,154:57-73 1997
Author:Katsuhiko Kuribayashi, Toshihiro Yamaguchi


On the real cohomology of spaces of free loops on manifolds
Fundamenta Mathematicae,150:173-188 1996
Author:Katsuhiko Kuribayashi


On the vanishing problem of string classes,
Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics,61:258-266 1996
Author:Katsuhiko Kuribayashi


The cohomology ringof the space of loops on Lie Groupsand homogeneous spaces
Pacific Journal of Mathematics,163:361-391 1994
Author:Katsuhiko Kuribayashi


The extension problem and the mod 2 cohomology of the space of free loops on Spin(N)
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics,121:91-99 1992
Author:Katsuhiko Kuribayashi


On the mod p cohomology of the spaces of free loops onthe Grassmann and Stiefel manifolds
Journal of the Mathematical Society of Japan,43:331-346 1991
Author:Katsuhiko Kuribayashi