128 citations · 700 across the 44 of their papers we have counts for
4 papers · 1 filter
Higgs bundles, the Toledo invariant and the Cayley correspondence
Olivier Biquard, Oscar Garcia-Prada, Roberto Rubio
We define the Toledo invariant of a G-Higgs bundle on a Riemann surface, where G is a real semisimple group of Hermitian type, and we prove a Milnor-Wood type bound for this invari…
Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group
Olivier Biquard, Oscar Garcia-Prada, Ignasi Mundet i Riera
We study parabolic G-Higgs bundles over a compact Riemann surface with fixed punctures, when G is a real reductive Lie group, and establish a correspondence between these objects a…
Gravitating vortices, cosmic strings, and the Kähler--Yang--Mills equations
Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada
In this paper we construct new solutions of the Kahler-Yang-Mills equations, by applying dimensional reduction methods to the product of the complex projective line with a compact…
Pseudo-real principal -bundles over a real curve
Indranil Biswas, Oscar Garcia-Prada, Jacques Hurtubise
We consider stable and semistable principal bundles over a smooth projective real algebraic curve, equipped with a real or pseudo-real structure in the sense of Atiyah. After fixin…