On the character variety of the four-holed sphere
Geometric Topology
2013-04-23 v1
Abstract
We study the (relative) SL(2,C) character varieties of the four-holed sphere and the action of the mapping class group on it. We describe a domain of discontinuity for this action, and, in the case of real characters, show that this domain of discontinuity may be non-empty on the components where the relative euler class is non-maximal.
Keywords
Cite
@article{arxiv.1304.5770,
title = {On the character variety of the four-holed sphere},
author = {Sara Maloni and Frederic Palesi and Ser Peow Tan},
journal= {arXiv preprint arXiv:1304.5770},
year = {2013}
}
Comments
22 pages, 1 figure