Deformations of maximal representations in Sp(4,R)

Details Deformations of maximal representations in Sp(4,R) Deformations of maximal representations in Sp(4,R)

2009-03-31

arxiv.org/abs/0903.5496v3

Mathematics

Algebraic Geometry

49 pages; v2: various improvements and minor corrections; v3: improved exposition

Scientific paper

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)?

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