Sasakian and parabolic Higgs bundles
classification
🧮 math.AG
keywords
bundleshiggssasakianbaseclassparaboliccompactconnected
read the original 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 $N$.
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