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20152021
most citedMaximal Sp(4,R) surface group representations, minimal immersions and cyclic surfaces

8 citations · 16 across the 3 of their papers we have counts for

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math.AG2021★ 1 cited

Arakelov-Milnor inequalities and maximal variations of Hodge structure

Olivier Biquard, Brian Collier, Oscar Garcia-Prada +1

In this paper we study the -fixed points in moduli spaces of Higgs bundles over a compact Riemann surface for a complex semisimple Lie group and its real forms. These…

math.AG2018

Studying Deformations of Fuchsian Representations with Higgs Bundles

Brian Collier

This is a survey article whose main goal is to explain how many components of the character variety of a closed surface are either deformation spaces of representations into the ma…

math.AG2018

SO(p,q)-Higgs bundles and higher Teichmüller components

Marta Aparicio-Arroyo, Steven Bradlow, Brian Collier +3

Some connected components of a moduli space are mundane in the sense that they are distinguished only by obvious topological invariants or have no special characteristics. Others a…