Sasakian and parabolic Higgs bundles

Abstract

Let M be a quasi-regular compact connected Sasakian manifold, and let N = M/S1 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.

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