128 citations · 700 across the 44 of their papers we have counts for
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Complex structures, moment maps, and the Ricci form (Extended Version)
Oscar Garcia-Prada, Dietmar Salamon, Samuel Trautwein
The Ricci form is a moment map for the action of the group of exact volume preserving diffeomorphisms on the space of almost complex structures. This observation yields a new appro…
Involutions of rank 2 Higgs bundle moduli spaces
Oscar Garcia-Prada, S. Ramanan
We consider the moduli space of rank 2 Higgs bundles with fixed determinant over a smooth projective curve X of genus 2 over the complex numbers, and study involutions defined by t…
Exotic components of surface group representations, and their Higgs bundle avatars
Marta Aparicio-Arroyo, Steven Bradlow, Brian Collier +3
For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topo…