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19942024
most citedMaximal surface group representations in isometry groups of classical Hermitian symmetric spaces

128 citations · 700 across the 44 of their papers we have counts for

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Showing 2009Show all

2 papers · 1 filter

math.DG2009★ 73 cited

The Hitchin-Kobayashi correspondence, Higgs pairs and surface group representations

Oscar Garcia-Prada, Peter B. Gothen, Ignasi Mundet i Riera

We develop a complete Hitchin-Kobayashi correspondence for twisted pairs on a compact Riemann surface X. The main novelty lies in a careful study of the the notion of polystability…

math.AG2009★ 46 cited

Deformations of maximal representations in Sp(4,R)

Steven B. Bradlow, Oscar Garcia-Prada, Peter B. Gothen

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 r…