Mirror symmetry and Hitchin systems on DM curves: SYZ Duality
Algebraic Geometry
2023-06-01 v3 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.2212.14609,
title = {Mirror symmetry and Hitchin systems on DM curves: SYZ Duality},
author = {Yonghong Huang},
journal= {arXiv preprint arXiv:2212.14609},
year = {2023}
}
Comments
Revisited version