53 citations · 59 across the 7 of their papers we have counts for
9 papers
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…
Noncommutative Poisson vertex algebras and Courant-Dorfman algebras
Luis Álvarez-Cónsul, David Fernández, Reimundo Heluani
We introduce the notion of double Courant-Dorfman algebra and prove that it satisfies the so-called Kontsevich-Rosenberg principle, that is, a double Courant-Dorfman algebra induce…
(0,2) Mirror Symmetry on homogeneous Hopf surfaces
Luis Álvarez-Cónsul, Andoni De Arriba de La Hera, Mario Garcia-Fernandez
In this work we find the first examples of (0,2) mirror symmetry on compact non-Kähler complex manifolds. For this we follow Borisov's approach to mirror symmetry using vertex alge…
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…
Non-commutative Courant algebroids and Quiver algebras
Luis Álvarez-Cónsul, David Fernández
In this paper, we develop a differential-graded symplectic (Batalin-Vilkovisky) version of the framework of Crawley-Boevey, Etingof and Ginzburg on noncommutative differential geom…
A Tannakian approach to dimensional reduction of principal bundles
Luis Álvarez-Cónsul, Indranil Biswas, Oscar García-Prada
Let be a parabolic subgroup of a connected simply connected complex semisimple Lie group . Given a compact Kähler manifold , the dimensional reduction of -equivariant…
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…
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…