Tomohiro FUKAYA

J-GLOBAL         Last updated: Oct 4, 2018 at 16:28
 
Avatar
Name
Tomohiro FUKAYA
Affiliation
Tokyo Metropolitan University

Research Interests

 
 

Research Areas

 
 

Academic & Professional Experience

 
Apr 2018
 - 
Today
Associate Professor, Graduate school of science, Tokyo Metropolitan university
 
Apr 2016
 - 
Mar 2018
Associate Professor, Department of Mathematics and Information Sciences, Tokyo Metropolitan university
 

Published Papers

 
Tomohiro Fukaya, Shin Ichi Oguni
Journal of Topology and Analysis   8 431-474   Sep 2016   [Refereed]
© 2016 World Scientific Publishing Company.We construct a corona of a relatively hyperbolic group by blowing-up all parabolic points of its Bowditch boundary. We relate the K-homology of the corona with the K-theory of the Roe algebra, via the coa...
Tomohiro Fukaya, Shin Ichi Oguni
Kyoto Journal of Mathematics   56 1-12   Apr 2016   [Refereed]
© 2016 by Kyoto University.We prove that the coarse assembly maps for proper metric spaces that are nonpositively curved in the sense of Busemann are isomorphisms, where we do not assume that the spaces have bounded coarse geometry. Also it is sho...
Masayuki Asaoka, Tomohiro Fukaya, Kentaro Mitsui, Masaki Tsukamoto
Journal d'Analyse Mathematique   127 47-68   Sep 2015   [Refereed]
© 2015, Hebrew University Magnes Press.We study the growth of the number of critical points in 1-dimensional lattice systems by using (real) algebraic geometry and the theory of homoclinic tangency.
Tomohiro Fukaya, Shin ichi Oguni
Advances in Mathematics   279 201-233   Jul 2015   [Refereed]
© 2015 Elsevier Inc.We study the coarse Baum-Connes conjecture for product spaces and product groups. We show that a product of CAT(0) groups, polycyclic groups and relatively hyperbolic groups which satisfy some assumptions on peripheral subgroup...
Tomohiro Fukaya, Shin Ichi Oguni
Journal of Topology and Analysis   4 99-113   Mar 2012   [Refereed]
We study a group which is hyperbolic relative to a finite family of infinite subgroups. We show that the group satisfies the coarse BaumConnes conjecture if each subgroup belonging to the family satisfies the coarse Baum-Connes conjecture and admi...
Masayuki Asaoka, Tomohiro Fukaya, Masaki Tsukamoto
Proceedings of the Japan Academy Series A: Mathematical Sciences   87 178-182   Nov 2011   [Refereed]
We solve a transversality problem relating to Bertelson-Gromov's "dynamical Morse inequality". © 2011 The Japan Academy.
Tomohiro Fukaya
Nagoya Mathematical Journal   202 1-13   Jul 2011   [Refereed]
We study semigroup actions on a coarse space and the induced actions on the Higson corona from a dynamical point of view. Our main theorem states that if an action of an abelian semigroup on a proper coarse space satisfies certain conditions, the ...
Tomohiro Fukaya, Masaki Tsukamoto
Geometriae Dedicata   143 63-67   Jan 2009   [Refereed]
We study the asymptotic distribution of the critical values of fn as n goes to infinity. Let X be a closed manifold and f: X × X → ℝ be a smooth function. Define. © Springer Science+Business Media B.V. 2009.
Tomohiro Fukaya
Homology, Homotopy and Applications   10 195-209   Nov 2008   [Refereed]
For n = 2m+1 - 4, m ≥ 2, we determine the cup-length of H*(G̃n,3; ℤ/2) by finding a Gröbner basis associated with a certain subring, where G̃n,3 is the oriented Grassmann manifold SO(n + 3)/SO(n) x SO(3). As an application, we provide not only a l...
A coarse Cartan-Hadamard theorem with application to the coarse Baum-Connes conjecture
Tomohiro FUKAYA
To appear in Journal of Topology and Analysis      [Refereed]
arXiv:1705.05588
We establish a coarse version of the Cartan-Hadamard theorem, which states that proper coarsely convex spaces are coarsely homotopy equivalent to the open cones of their ideal boundaries. As an application, we show that such space...