Abstract
We develop a theory of convex cocompact subgroups of the mapping class group of a closed, oriented surface of genus at least 2, in terms of the action on Teichmüller space. Given a subgroup of defining an extension , we prove that if is a word hyperbolic group then is a convex cocompact subgroup of . When is free and convex cocompact, it is called a Schottky subgroup.
Citation
Benson Farb. Lee Mosher. "Convex cocompact subgroups of mapping class groups." Geom. Topol. 6 (1) 91 - 152, 2002. https://doi.org/10.2140/gt.2002.6.91
Information