Deformations of maximal representations in Sp(4,R)
Algebraic Geometry
2014-10-17 v3 Differential Geometry
Abstract
We use Higgs bundles to answer the following question: When can a maximal Sp(4,R)-representation of a surface group be deformed to a representation which factors through a proper reductive subgroup of Sp(4,R)?
Cite
@article{arxiv.0903.5496,
title = {Deformations of maximal representations in Sp(4,R)},
author = {Steven B. Bradlow and Oscar Garcia-Prada and Peter B. Gothen},
journal= {arXiv preprint arXiv:0903.5496},
year = {2014}
}
Comments
49 pages; v2: various improvements and minor corrections; v3: improved exposition