Poisson Structures on Moduli Spaces of Higgs Bundles over Stacky Curves
Algebraic Geometry
2023-11-09 v3 Differential Geometry
Abstract
We demonstrate the construction of Poisson structures via Lie algebroids on moduli spaces of twisted stable Higgs bundles over stacky curves. The construction provides new examples of Poisson structures on such moduli spaces. Special attention is paid at moduli spaces of parabolic Higgs bundles over a root stack.
Keywords
Cite
@article{arxiv.2008.12518,
title = {Poisson Structures on Moduli Spaces of Higgs Bundles over Stacky Curves},
author = {Georgios Kydonakis and Hao Sun and Lutian Zhao},
journal= {arXiv preprint arXiv:2008.12518},
year = {2023}
}
Comments
20 pages