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Sasakian and Parabolic Higgs Bundles

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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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Acknowledgements

We thank the referees for their helpful comments. The authors acknowledge the support of their respective J. C. Bose Fellowships.

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Authors and Affiliations

  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India

    Indranil Biswas & Mahan Mj

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  1. Indranil Biswas
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  2. Mahan Mj
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Correspondence to Indranil Biswas.

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Biswas, I., Mj, M. Sasakian and Parabolic Higgs Bundles. Math Phys Anal Geom 21, 4 (2018). https://doi.org/10.1007/s11040-017-9262-0

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  • DOI: https://doi.org/10.1007/s11040-017-9262-0

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