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arXiv · 1712.09928

Critical loci for Higgs bundles

Nigel Hitchin
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Abstract

The paper studies the locus in the rank 2 Higgs bundle moduli space corresponding to points which are critical for d of the Poisson commuting functions. These correspond to the Higgs field vanishing on a divisor of degree D. The degree D critical locus has an induced integrable system related to K(-D)-twisted Higgs bundles. Topological and differential-geometric properties of the critical loci are addressed.

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Nigel Hitchin. 2017-12-28. Critical loci for Higgs bundles. https://arxiv.org/abs/1712.09928

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