Mirror symmetry and Hitchin systems on DM curves: SYZ Duality
arXiv:2212.14609
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.
Revisited version