9 citations · 9 across the 1 of their papers we have counts for
4 papers
Surface group representations, Higgs bundles, and holomorphic triples
Steven B. Bradlow, Oscar Garcia-Prada, Peter B. Gothen
Using the norm of the Higgs field as a Morse function, we study the moduli spaces of -Higgs bundles over a Riemann surface. We require that the genus of the surface b…
Homological algebra of twisted quiver bundles
Peter B. Gothen, Alastair D. King
Several important cases of vector bundles with extra structure (such as Higgs bundles and triples) may be regarded as examples of twisted representations of a finite quiver in the…
Topology of U(2,1) representation spaces
Peter B. Gothen
The Betti numbers of moduli spaces of representations of a universal central extension of a surface group in the groups U(2,1) and SU(2,1) are calculated. The results are obtained…
Components of spaces of representations and stable triples
Peter B. Gothen
We consider the moduli spaces of representations of the fundamental group of a surface of genus g greater than 2 in the Lie groups SU(2,2) and Sp(4,R). It is well known that there…