Geometry of the mapping class groups I: Boundary amenability
Group Theory
2008-03-19 v4 Geometric Topology
Abstract
We construct a geometric model for the mapping class group M of a non-exceptional oriented surface of finite type and use it to show that the action of M on the compact Hausdorff space of complete geodesic laminations is topologically amenable. As a consequence, the Novikov higher signature conjecture holds for every subgroup of M.
Cite
@article{arxiv.math/0510116,
title = {Geometry of the mapping class groups I: Boundary amenability},
author = {Ursula Hamenstaedt},
journal= {arXiv preprint arXiv:math/0510116},
year = {2008}
}
Comments
59 pages. Section 5 simplified and corrected. Writing improved. Details added