Non-faithful representations of surface groups into SL(2,C) which kill no simple closed curve
Geometric Topology
2015-03-19 v3 Group Theory
Abstract
We give counterexamples to a version of the simple loop conjecture in which the target group is PSL(2,C). These examples answer a question of Minsky in the negative.
Keywords
Cite
@article{arxiv.1104.4492,
title = {Non-faithful representations of surface groups into SL(2,C) which kill no simple closed curve},
author = {Daryl Cooper and Jason Fox Manning},
journal= {arXiv preprint arXiv:1104.4492},
year = {2015}
}
Comments
23 pages, 3 figures. Version 3 incorporates additional referee comments, especially improving the appendix