Poisson Structures on Moduli Spaces of Higgs Bundles over Stacky Curves

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.

20 pages

References in corpus (4)

• Grothendieck Duality for Deligne-Mumford Stacks
• Hyperkahler manifolds and nonabelian Hodge theory of (irregular) curves
• Fibrés paraboliques et champ des racines
• Moduli Problem of Hitchin Pairs over Deligne-Mumford Stack