128 citations · 363 across the 28 of their papers we have counts for
6 papers · 1 filter
A New look at the vortex equations and dimensional reduction
Steven Bradlow, James Glazebrook, Franz Kamber
In order to use the technique of dimensional reduction, it is usually necessary for there to be a symmetry coming from a group action. In this paper we consider a situation in whic…
Non-abelian monopoles and vortices
Steven Bradlow, Oscar Garcia-Prada
The Seiberg-Witten equations are defined on certain complex line bundles over smooth oriented four manifolds. When the base manifold is a complex Kahler surface, the Seiberg-Witten…
Higher cohomology triples and holomorphic extensions
Steven B. Bradlow, Oscar Garcia-Prada
We introduce equations for special metrics, and notions of stability for some new types of augmented holomorphic bundles. These new examples include holomorphic extensions, and in…
Hermitian-Einstein Inequalities and Harder-Narasimhan Filtration
Steven B. Bradlow
Unstable holomorphic bundles can be described algebraically by Harder-Narasimhan filtrations. In this note we show how such filtrations correspond to the existence of special metri…
Stable triples, equivariant bundles and dimensional reduction
Steven B. Bradlow, Oscar Garcia-Prada
This is a resubmission of preprint 9401008 , which has some TeXnical errors introduced by the "reform" procedure (designed to avoid precisely these problems!). The original can be…
Birational Equivalences of Vortex Moduli
S. Bradlow, G. Daskalopoulos, R. Wentworth
We construct a finite dimensional Kaehler manifold with a holomorphic, symplectic circle action whose symplectic reduced spaces may be identified with the tau-vortex moduli spaces…