English

Some homological invariants of mapping class group of a 3-dimensional handlebody

Geometric Topology 2009-01-15 v1 Group Theory

Abstract

We show that, if g is more than or equal to 2, the virtual cohomological dimension of the mapping class group of a 3-dimensional handlebody of genus g is equal to 4g-5 and the Euler number of it is equal to 0.

Keywords

Cite

@article{arxiv.math/0102184,
  title  = {Some homological invariants of mapping class group of a 3-dimensional handlebody},
  author = {Susumu Hirose},
  journal= {arXiv preprint arXiv:math/0102184},
  year   = {2009}
}

Comments

8 pages, 1 figure