9 citations · 9 across the 4 of their papers we have counts for
5 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 …
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…
Twisted Higgs bundles and the fundamental group of compact Kähler manifolds
O. Garcia-Prada, S. Ramanan
We study polystable Higgs bundles twisted by a line bundle over a compact Kähler manifold. These form a Tannakian category when the first and second Chern classes of the bundle are…