S. Bradlow

activity

20002007

most citedSurface group representations, Higgs bundles, and holomorphic triples

9 citations · 10 across the 6 of their papers we have counts for

collaborators

Showing 2002 · math.AGShow all

2 papers · 2 filters

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.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…