The first Johnson subgroups act ergodically on SU_2-character varieties
Geometric Topology
2012-06-13 v1 Dynamical Systems
Abstract
We show that the first Johnson subgroup of the mapping class group of a surface S of genus greater than one acts ergodically on the moduli space of representations of the fundamental group of S in SU_2. Our proof relies on a local description of the latter space around the trivial representation and on the Taylor expansion of trace functions.
Cite
@article{arxiv.1206.2541,
title = {The first Johnson subgroups act ergodically on SU_2-character varieties},
author = {Louis Funar and Julien Marché},
journal= {arXiv preprint arXiv:1206.2541},
year = {2012}
}
Comments
9 pages