106 citations · 187 across the 5 of their papers we have counts for
6 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…
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…
A functorial construction of moduli of sheaves
Luis Álvarez-Cónsul, Alastair King
We show how natural functors from the category of coherent sheaves on a projective scheme to categories of Kronecker modules can be used to construct moduli spaces of semistable sh…
On the geometry of moduli spaces of holomorphic chains over compact Riemann surfaces
Luis Alvarez-Consul, Oscar Garcia-Prada, Alexander H. W. Schmitt
We study holomorphic -chains consisting of holomorphic vector bundles over a compact Riemann surface and homomorphisms between them. A noti…
Hitchin-Kobayashi correspondence, quivers, and vortices
Luis Álvarez-Cónsul, Oscar García-Prada
A twisted quiver bundle is a set of holomorphic vector bundles over a complex manifold, labelled by the vertices of a quiver, linked by a set of morphisms twisted by a fixed collec…
On the gauge dependence of the topological sigma model beta functions
Luis Alvarez-Consul, C. P. Martin
We compute the dependence on the classical action "gauge" parameters of the beta functions of the standard topological sigma model in flat space. We thus show that their value is a…