Ergodicity of Mapping Class Group Actions on Representation Varieties, I. Closed Surfaces
Dynamical Systems
2007-05-23 v1 Representation Theory
Abstract
We prove that the mapping class group of a closed surface acts ergodically on connected components of the representation variety corresponding to a connected compact Lie group.
Cite
@article{arxiv.math/0006098,
title = {Ergodicity of Mapping Class Group Actions on Representation Varieties, I. Closed Surfaces},
author = {Doug Pickrell and Eugene Z. Xia},
journal= {arXiv preprint arXiv:math/0006098},
year = {2007}
}
Comments
25 pages, 3 figures