128 citations · 700 across the 44 of their papers we have counts for
3 papers · 1 filter
On the geometry of moduli spaces of holomorphic chains over compact Riemann surfaces
Luis Alvarez-Consul, Oscar Garcia-Prada, Alexander H. W. Schmitt
We study holomorphic -chains consisting of holomorphic vector bundles over a compact Riemann surface and homomorphisms between them. A noti…
Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces
Steven B. Bradlow, Oscar Garcia-Prada, Peter B. Gothen
Higgs bundles and non-abelian Hodge theory provide holomorphic methods with which to study the moduli spaces of surface group representations in a reductive Lie group G. In this pa…
Homotopy groups of moduli spaces of representations
Steven B. Bradlow, Oscar Garcia-Prada, Peter B. Gothen
We calculate certain homotopy groups of the moduli spaces for representations of a compact oriented surface in the Lie groups GL(n,C) and U(p,q). Our approach relies on the interpr…