Brauer Group of Moduli of Higgs Bundles and Connections
Brauer Group of Moduli of Higgs Bundles and Connections
Given a compact Riemann surface $X$ and a semisimple affine algebraic group $G$ defined over $\mathbb C$, there are moduli spaces of Higgs bundles and of connections associated to $(X,\, G)$. We compute the Brauer group of the smooth locus of these varieties.