53 citations · 132 across the 13 of their papers we have counts for
21 papers
A Prym-Narasimhan-Ramanan construction of principal bundle fixed points
G. Barajas, O. García-Prada
Let be a compact Riemann surface and be a connected reductive complex Lie group with centre . Consider the moduli space of polystable principal holomorphic -…
Non-connected Lie groups, twisted equivariant bundles and coverings
G. Barajas, O. García-Prada, P. B. Gothen +1
Let be a finite group acting on a Lie group . We consider a class of group extensions defined by this action and a -cocycle of with v…
Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface
Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada +2
In this note we present an obstruction to the existence of solutions to the self-dual Einstein-Maxwell-Higgs equations on a compact surface, which depends on the multiplicities of…
Finite group actions on Higgs bundle moduli spaces
Guillermo Barajas, Suratno Basu, Oscar García-Prada
Let be the moduli space of -Higgs bundles over a compact Riemann surface , where is a semisimple complex Lie group with centre . We describe the fixed…
Higgs bundles, abelian gerbes and cameral data
Oscar García-Prada, Ana Peón-Nieto
We study the Hitchin map for -Higgs bundles on a smooth curve, where is a quasi-split real form of a complex reductive algebraic group . By look…
Higgs bundles and higher Teichmüller spaces
Oscar García-Prada
This paper is a survey on the role of Higgs bundle theory in the study of higher Teichmüller spaces. Recall that the Teichmüller space of a compact surface can be identified with a…