106 citations · 187 across the 5 of their papers we have counts for
3 papers · 1 filter
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…
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…