3 papers
math.GT2006
A formula for the Euler characteristics of even dimensional triangulated manifolds
Toshiyuki Akita
An unusual formula for the Euler characteristics of even dimensional triangulated manifolds is deduced from the generalized Dehn-Sommerville equations.
math.GT2006
Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups
Toshiyuki Akita, Nariya Kawazumi
The first author conjectured certain relations for Morita-Mumford classes and Newton classes in the integral cohomology of mapping class groups (integral Riemann-Roch formulae). In…
alg-geom1997
Homological infiniteness of Torelli groups
Toshiyuki Akita
We prove that rational homology of the Torelli group of genus g is infinite dimensional, provided g>6. This means that rational homology of the Torelli space of genus g>6 is infini…