Higgs bundles on Sasakian manifolds

Indranil Biswas; Mahan Mj

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arXiv · 1607.07351

Higgs bundles on Sasakian manifolds

Indranil Biswas·Mahan Mj

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Abstract

We extend the Donaldson-Corlette-Hitchin-Simpson correspondence between Higgs bundles and flat connections on compact K\"ahler manifolds to compact quasi-regular Sasakian manifolds. A particular consequence is the translation of restrictions on K\"ahler groups proved using the Donaldson-Corlette-Hitchin-Simpson correspondence to fundamental groups of compact Sasakian manifolds.

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BibTeX RIS

Indranil Biswas, Mahan Mj. 2016-07-25. Higgs bundles on Sasakian manifolds. https://arxiv.org/abs/1607.07351

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