Moduli spaces of parabolic $U(p,q)$-Higgs bundles

Oscar Garcia-Prada, Marina Logares, Vicente Muñoz

Using the $L^2$-norm of the Higgs field as a Morse function, we count the number of connected components of the moduli space of parabolic $U(p,q)$-Higgs bundles over a Riemann surf…