An ergodic action of the outer automorphism group of a free group
Differential Geometry
2011-07-12 v3 Group Theory
Abstract
For n>2, the action of the outer automorphism group of the rank n free group F_n on the SU(2)-character variety Hom(F_n,SU(2))/SU(2)$ is ergodic with respect to the Lebesgue measure class.
Cite
@article{arxiv.math/0506401,
title = {An ergodic action of the outer automorphism group of a free group},
author = {William M. Goldman},
journal= {arXiv preprint arXiv:math/0506401},
year = {2011}
}
Comments
12 pages, 4 figures The proof of Lemma 3.1 was rewritten, following advice of David Fisher