21 citations · 119 across the 19 of their papers we have counts for
3 papers · 1 filter
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…
Unramified covers and branes on the Hitchin system
Emilio Franco, Peter Gothen, André Oliveira +1
We study the locus of the moduli space of Higgs bundles on a curve given by those Higgs bundles obtained by pushforward under an unramified cover. We equip these loci with a hyperh…
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…