Surface Group Representations and U(p, q)-Higgs Bundles
Surface Group Representations and U(p, q)-Higgs Bundles
Using the L2 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 least two, but place no constraints on (p, q). A key step is the identification …