128 citations · 700 across the 44 of their papers we have counts for
47 papers
Gravitating vortices and Symplectic Reduction by Stages
L. Álvarez-Cónsul, M. Garcia-Fernandez, O. García-Prada +2
We undertake a novel approach to the existence problem for gravitating vortices on a Riemann surface based on symplectic reduction by stages, which seems to be new in the PDE as we…
Vinberg pairs and Higgs bundles
Oscar García-Prada
We explore the role of Vinberg pairs defined by cyclic gradings of a semisimple complex Lie algebra in the context of Higgs bundle theory.
Multiplicative Higgs bundles and involutions
Guillermo Gallego, Oscar Garcia-Prada
In this paper we generalize the theory of multiplicative -Higgs bundles over a curve to pairs , where is a reductive algebraic group and is an involution of .…
Higgs bundles twisted by a vector bundle
Guillermo Gallego, Oscar Garcia-Prada, M. S. Narasimhan
In this paper, we consider a generalization of the theory of Higgs bundles over a smooth complex projective curve in which the twisting of the Higgs field by the canonical bundle o…
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…
A general Cayley correspondence and higher Teichmüller spaces
Steve Bradlow, Brian Collier, Oscar Garcia-Prada +2
We introduce a new class of -triples in a complex simple Lie algebra , which we call magical. Such an -triple canonically defines a…