Shadows of mapping class groups: capturing convex cocompactness
Geometric Topology
2007-05-23 v3 Group Theory
Abstract
We strengthen the analogy between convex co-compact Kleinian groups and convex co-compact subgroups of the mapping class group of a surface (in the sense of B. Farb and L. Mosher).
Cite
@article{arxiv.math/0505114,
title = {Shadows of mapping class groups: capturing convex cocompactness},
author = {Richard P. Kent and Christopher J. Leininger},
journal= {arXiv preprint arXiv:math/0505114},
year = {2007}
}
Comments
v3. Final version accepted for publication. Minor revisions, updated references. v2. Theorems 3.9 and 3.10 strengthened, proof of Theorem 5.4 shortened, and questions in Section 8 modified. References to Brock--Farb, Duchin, and Hamenstadt added