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

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4 papers · 1 filter

math.AG2004

On the geometry of moduli spaces of coherent systems on algebraic curves

S. Bradlow, O. Garcia-Prada, V. Mercat +2

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

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…

math.AG2000

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…