9 citations · 9 across the 5 of their papers we have counts for
6 papers
On the geometry of moduli spaces of coherent systems on algebraic curves
S. Bradlow, O. Garcia-Prada, V. Mercat +2
Let be an algebraic curve of genus . A coherent system on consists of a pair , where is an algebraic vector bundle over of rank and degree and …
Dimensional reduction of the perturbed Hermitian-Einstein equation
Steven B. Bradlow, James F. Glazebrook, Franz W. Kamber
Given a Kaehlerian holomorphic fiber bundle whose fiber is a compact homogeneous Kaehler manifold, we describe the perturbed Hermitian-Einstein equations relative to certain holomo…
Surface group representations, Higgs bundles, and holomorphic triples
Steven B. Bradlow, Oscar Garcia-Prada, Peter B. Gothen
Using the norm of the Higgs field as a Morse function, we study the moduli spaces of -Higgs bundles over a Riemann surface. We require that the genus of the surface b…
Relative Hitchin--Kobayashi correspondences for principal pairs
Steven B. Bradlow, Oscar Garcia-Prada, Ignasi Mundet i Rierra
A principal pair consists of a holomorphic principal -bundle together with a holomorphic section of an associated Kaehler fibration. Such objects support natural gauge theoretic…
Coherent systems and Brill-Noether theory
Steven Bradlow, Oscar Garcia-Prada, Vicente Muñoz +1
Let be a curve of genus . A coherent system on consists of a pair where is an algebraic vector bundle of rank and degree and is a subspace…
Extensions of Higgs Bundles
Steven B. Bradlow, Tomas L. Gomez
We prove a Hitchin-Kobayashi correspondence for extensions of Higgs bundles. The results generalize known results for extensions of holomorphic bundles. Using Simpson's methods, we…