Symplectic resolutions of moduli spaces of $G$-Higgs bundles

Abstract

The goal of this paper is to consider symplectic singularities of the moduli space of $G$-Higgs bundles over a compact Riemann surface with genus at least $2$. Furthermore, when $G$ is semisimple, we also study its symplectic resolution.

6 pages. The proof is corrected with simpler way, and reductive case is also considered. Comments are welcome!