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math.AG2015★ 19 cited
Stratifications on the Moduli Space of Higgs Bundles
Peter B. Gothen, Ronald A. Zúñiga-Rojas
The moduli space of Higgs bundles has two stratifications. The Bialynicki-Birula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs…
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…