On dynamics of Out(F_n) on PSL(2,C) characters
Geometric Topology
2010-10-12 v2 Dynamical Systems
Abstract
This note introduces and studies an open set of PSL(2,C) characters of a nonabelian free group, on which the action of the outer automorphism group is properly discontinuous, and which is strictly larger than the set of discrete, faithful convex-cocompact (i.e. Schottky) characters. This implies, in particular, that the outer automorphism group does not act ergodically on the set of characters with dense image. Hence there is a difference between the geometric (discrete vs. dense) decomposition of the characters, and a natural dynamical decomposition.
Keywords
Cite
@article{arxiv.0906.3491,
title = {On dynamics of Out(F_n) on PSL(2,C) characters},
author = {Yair N. Minsky},
journal= {arXiv preprint arXiv:0906.3491},
year = {2010}
}