%0 Journal Article
%T Singular Hermitian-Einstein monopoles on the product of a circle and a Riemann surface
%A Benoit Charbonneau
%A Jacques Hurtubise
%J Mathematics
%D 2008
%I arXiv
%X In this paper, the moduli space of singular unitary Hermitian--Einstein monopoles on the product of a circle and a Riemann surface is shown to correspond to a moduli space of stable pairs on the Riemann surface. These pairs consist of a holomorphic vector bundle on the surface and a meromorphic automorphism of the bundle. The singularities of this automorphism correspond to the singularities of the singular monopole. We then consider the complex geometry of the moduli space; in particular, we compute dimensions, both from the complex geometric and the gauge theoretic point of view.
%U http://arxiv.org/abs/0812.0221v3