The quasi-Poisson Goldman formula

DOI10.1016/j.geomphys.2013.06.010zbMath1282.53072arXiv1301.5231OpenAlexW2087682983MaRDI QIDQ391005

Xin Nie

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5231

zbMATH Keywords

Lie groupgroupoidcross-sectionsGoldman formulamoduli space of flat connectionsquasi-Poisson brackets

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Generalized geometries (à la Hitchin) (53D18)

Related Items (1)

Batalin-Vilkovisky structures on moduli spaces of flat connections

Cites Work

• The symplectic nature of fundamental groups of surfaces
• Invariant functions on Lie groups and Hamiltonian flows of surface group representations
• Lie group valued moment maps
• Moduli spaces of local systems and higher Teichmüller theory
• Poisson geometry of 𝑆𝐿(3,ℂ)-character varieties relative to a surface with boundary
• Quasi-Poisson Manifolds
• The Yang-Mills equations over Riemann surfaces

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