S. Bradlow

activity

20002004

most citedSurface group representations, Higgs bundles, and holomorphic triples

9 citations · 9 across the 5 of their papers we have counts for

collaborators

Showing 2002Show all

3 papers · 1 filter

math.AG2002★ 9 cited

Surface group representations, Higgs bundles, and holomorphic triples

Steven B. Bradlow, Oscar Garcia-Prada, Peter B. Gothen

Using the $L^{2}$ norm of the Higgs field as a Morse function, we study the moduli spaces of $U (p, q)$ -Higgs bundles over a Riemann surface. We require that the genus of the surface b…

math.DG2002

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 $G$ -bundle together with a holomorphic section of an associated Kaehler fibration. Such objects support natural gauge theoretic…

math.AG2002

Coherent systems and Brill-Noether theory

Steven Bradlow, Oscar Garcia-Prada, Vicente Muñoz +1

Let $C$ be a curve of genus $g \geq 2$ . A coherent system on $C$ consists of a pair $(E, V)$ where $E$ is an algebraic vector bundle of rank $n$ and degree $d$ and $V$ is a subspace…