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arXiv · 2212.14609

Mirror symmetry and Hitchin systems on DM curves: SYZ Duality

Yonghong Huang
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Abstract

We generalize the classical theory of Higgs bundles, spectral curves and Norm maps to Deligne-Mumford curves. As an application, under some mild conditions, we prove the Strominger-Yau-Zaslow duality for the moduli spaces of Higgs bundles over a hyperbolic stacky curve.

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Yonghong Huang. 2022-12-30. Mirror symmetry and Hitchin systems on DM curves: SYZ Duality. https://arxiv.org/abs/2212.14609

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