121 citations · 158 across the 4 of their papers we have counts for
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math.AG2004★ 4 cited
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…
math.AG2004★ 21 cited
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.
math.AG2002★ 121 cited
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…