Semistable Higgs Bundles on Calabi-Yau Manifolds
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Date
2017
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Abstract
We provide a partial classification of semistable Higgs bundles over a simply connected Calabi-Yau manifold. Applications to a conjecture about a special class of semistable Higgs bundles are given. In particular, the conjecture is proved for K3 and Enriques surfaces, and some related classes of surfaces.
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Keywords
Higgs bundles, Bogomolov inequality, Restriction to curves, K3 surfaces