Nonabelian monopoles and vortices
Abstract
The SeibergWitten equations are defined on certain complex line bundles over smooth oriented four manifolds. When the base manifold is a complex Kahler surface, the SeibergWitten equations are essentially the Abelian vortex equations. Using known nonabelian generalizations of the vortex equations as a guide, we explore some nonabelian versions of the SeibergWitten equations. We also make some comments about the differences between the vortex equations that have previously appeared in the literature and those that emerge as Kahler versions of Seibergwitten type equations.
 Publication:

arXiv eprints
 Pub Date:
 February 1996
 arXiv:
 arXiv:alggeom/9602010
 Bibcode:
 1996alg.geom..2010B
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Differential Geometry
 EPrint:
 Revised version, in which some minor clarrifications and a number of unjustly ommitted references have been added. (Apologies to any inadvertantly offended parties.) To appear in the Proceedings of the 1995 Aarhus Conference in Geometry and Physics. 25 pages. AMSLaTeX v 2.09