Uniform convergence in the mapping class group

Details Uniform convergence in the mapping class group Uniform convergence in the mapping class group

2007-04-19

arxiv.org/abs/0704.2587v2

Mathematics

Geometric Topology

v2. Accepted version. Minor revisions incorporating referee's comments. v1. 21 pages

Scientific paper

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.

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