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Mirror symmetry and Hitchin system on Deligne–Mumford curves: Strominger–Yau–Zaslow duality

Published online by Cambridge University Press:  06 May 2024

Yonghong Huang*
College of Mathematics and System Science, Xinjiang University, Urumqi 830046, People’s Republic of China


We systematically study the moduli stacks of Higgs bundles, spectral curves, and Norm maps on 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.

© The Author(s), 2024. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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This work was partially supported by the Fundamental Research Funds for the Central Universities (Grant No. 34000-31610294) and the Xinjiang Key Laboratory of Applied Mathematics (Grant No. XJDX1401).


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