Representation varieties of Fuchsian groups
Algebraic Geometry
2014-07-07 v3 Group Theory
Abstract
We estimate the dimension of varieties of the form Hom(F,G) where F is a Fuchsian group and G is a simple real algebraic group, answering along the way a question of I. Dolgachev.
Cite
@article{arxiv.1203.3408,
title = {Representation varieties of Fuchsian groups},
author = {Michael Larsen and Alexander Lubotzky},
journal= {arXiv preprint arXiv:1203.3408},
year = {2014}
}
Comments
Lemma 2.3 of version 1 (renumbered 3.3 in this version for consistency with the published version) was incorrect as stated. This version proves a weaker version of Lemma 3.3 and a correspondingly strengthened version of Theorem 3.4. The main theorems are unchanged