Surface group representations to $SL(2,{\mathbb C})$ and Higgs bundles with smooth spectral data
Differential Geometry
2016-10-19 v2
Abstract
We show that for every nonelementary representation of a surface group into there is a Riemann surface structure such that the Higgs bundle associated to the representation lies outside the discriminant locus of the Hitchin fibration.
Cite
@article{arxiv.1507.08196,
title = {Surface group representations to $SL(2,{\mathbb C})$ and Higgs bundles with smooth spectral data},
author = {Richard A. Wentworth and Michael Wolf},
journal= {arXiv preprint arXiv:1507.08196},
year = {2016}
}
Comments
15 pages. Revised version. To appear in Geometry and Topology