121 citations · 158 across the 4 of their papers we have counts for
4 papers
Betti numbers of the moduli space of rank 3 parabolic Higgs bundles
O. García-Prada, P. B. Gothen, V. Muñoz
We compute the Betti numbers of the moduli space of rank 3 parabolic Higgs bundles, using Morse theory. A key point is that certain critical submanifolds of the Morse function can…
Representations of surface groups in the general linear group
Steven B. Bradlow, Oscar Garcia-Prada, Peter B. Gothen
We determine the number of connected components of the moduli space for representations of a surface group in the general linear group.
Representations of the fundamental group of a closed oriented surface in Sp(4,R)
Óscar García-Prada, Ignasi Mundet i Riera
We classify the connected components of the space of representations of the fundamental group of a closed oriented surface of genus in . We prove that t…
Surface group representations in PU(p,q) and Higgs bundles
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 be at…