Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups
Group Theory
2007-05-23 v1 Geometric Topology
Abstract
In these lecture notes, we combine recent homological methods of Kevin Whyte with older dynamical methods developed by Benson Farb and myself, to obtain a new quasi-isometric rigidity theorem for the mapping class group MCG(S) of a once punctured surface S of genus at least 2: if K is a finitely generated group quasi-isometric to MCG(S) then there is a homomorphism K -> MCG(S) with finite kernel and finite index image. This theorem is joint with Kevin Whyte.
Keywords
Cite
@article{arxiv.math/0308065,
title = {Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups},
author = {Lee Mosher},
journal= {arXiv preprint arXiv:math/0308065},
year = {2007}
}
Comments
Lecture Notes from the LMS Durham Symposium: Geometry and Cohomology in Group Theory, University of Durham, UK, July 2003