@article{bb376d2975d74f58baa965dc462d4b9c,
title = "Deformations of maximal representations in Sp(4, R)",
abstract = "We use Higgs bundles to answer the following question: When can a maximal Sp (4,)-representation of a surface group be deformed to a representation which factors through a proper reductive subgroup of Sp (4, R)?",
author = "Bradlow, {Steven B.} and Oscar Garc{\'i}a-Prada and Gothen, {Peter B.}",
note = "Funding Information: Members of VBAC (Vector Bundles on Algebraic Curves). Second and third authors partially supported by FCT/CSIC and CRUP/Ministerio de Educaci{\'o}n y Ciencia (Spain) through Portugal/Spain bilateral programmes. Second author partially supported by Ministerio de Educaci{\'o}n y Ciencia (Spain) through Project MTM2007-67623. Third author partially supported by FCT (Portugal) through the Centro de Matem{\'a}tica da Universidade do Porto and the projects POCTI/MAT/58549/2004, PTDC/MAT/099275/2008 and PTDC/MAT/098770/2008.",
year = "2012",
month = dec,
doi = "10.1093/qmath/har010",
language = "English (US)",
volume = "63",
pages = "795--843",
journal = "Quarterly Journal of Mathematics",
issn = "0033-5606",
publisher = "Oxford University Press",
number = "4",
}