Sasakian and parabolic Higgs bundles

Abstract

Let $M$ be a quasi-regular compact connected Sasakian manifold, and let $N=M/S^1$ be the base projective variety. We establish an equivalence between the class of Sasakian $G$-Higgs bundles over $M$ and the class of parabolic (or equivalently, ramified) $G$-Higgs bundles over the base $N$.

arXiv admin note: text overlap with arXiv:0806.1308