Higgs bundles for real groups and the Hitchin-Kostant-Rallis section

Oscar García-Prada, Ana Peón-Nieto, S. Ramanan

We consider the moduli space of polystable $L$-twisted $G$-Higgs bundles over a compact Riemann surface $X$, where $G$ is a real reductive Lie group, and $L$ is a holomorphic line…