Poisson Structures on Moduli Spaces of Higgs Bundles over Stacky Curves
Georgios Kydonakis, Hao Sun, Lutian Zhao
TL;DR
This paper constructs Poisson structures on moduli spaces of twisted Higgs bundles over stacky curves, providing new examples and focusing on parabolic Higgs bundles over root stacks.
Contribution
It introduces a novel method to build Poisson structures using Lie algebroids on moduli spaces of Higgs bundles over stacky curves, including parabolic cases.
Findings
New Poisson structures on moduli spaces of Higgs bundles
Explicit construction via Lie algebroids
Application to parabolic Higgs bundles over root stacks
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry