53 citations · 132 across the 13 of their papers we have counts for
6 papers · 1 filter
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…
On the Kähler-Yang-Mills-Higgs equations
Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada
In this paper we introduce a set of equations on a principal bundle over a compact complex manifold coupling a connection on the principal bundle, a section of an associated bundle…
Gravitating vortices and the Einstein--Bogomol'nyi equations
Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada +1
In this work we consider the gravitating vortex equations. These equations couple a metric over a compact Riemann surface with a hermitian metric over a holomorphic line bundle equ…
Anti-holomorphic involutions of the moduli spaces of Higgs bundles
Indranil Biswas, Oscar García-Prada
We study anti-holomorphic involutions of the moduli space of principal -Higgs bundles over a compact Riemann surface , where is a complex semisimple Lie group. These invo…
Dimensional reduction, SL(2,C)-equivariant bundles and stable holomorphic chains
Luis Álvarez-Cónsul, Oscar García-Prada
In this paper we study gauge theory on SL(2,C)-equivariant bundles over XxP^1, where X is a compact Kahler manifold, P^1 is the complex projective line, and the action of SL(2,C) i…
Dimensional reduction and quiver bundles
Luis Álvarez-Cónsul, Oscar García-Prada
The so-called Hitchin-Kobayashi correspondence, proved by Donaldson, Uhlenbeck and Yau, establishes that an indecomposable holomorphic vector bundle over a compact Kahler manifold…