English

Uniform convergence in the mapping class group

Geometric Topology 2007-08-26 v2 Group Theory

Abstract

We characterize convex cocompact subgroups of the mapping class group of a surface in terms of uniform convergence actions on the zero locus of the limit set. We also construct subgroups that act as uniform convergence groups on their limit sets, but are not convex cocompact.

Keywords

Cite

@article{arxiv.0704.2587,
  title  = {Uniform convergence in the mapping class group},
  author = {Richard P. Kent and Christopher J Leininger},
  journal= {arXiv preprint arXiv:0704.2587},
  year   = {2007}
}
R2 v1 2026-06-21T08:20:18.910Z