Poisson Structures on moduli spaces of Higgs bundles over stacky curves-Reference-Cited by-同舟云学术

Poisson Structures on moduli spaces of Higgs bundles over stacky curves

Published:2024-04-01 Issue:2 Volume:24 Page:163-182
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Kydonakis Georgios¹,Sun Hao²,Zhao Lutian³

Affiliation:

1. Department of Mathematics, University of Patras, Panepistimioupolis Patron , Patras , Greece

2. Department of Mathematics, South China University of Technology , 381 Wushan Rd, Tianhe Qu, Guangzhou , Guangdong , China

3. Department of Mathematics, University of Maryland, College Park , 4176 Campus Drive - William E. Kirwan Hall, College Park, MD Maryland , USA

Abstract

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 to moduli spaces of parabolic Higgs bundles over a root stack.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2024-0004/pdf

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