Quasi-Poisson structures on moduli spaces of quasi-surfaces

DOI10.1016/J.GEOMPHYS.2020.103743zbMath1495.17034arXiv2001.11836OpenAlexW3003442083MaRDI QIDQ778983

Vladimir G. Turaev

Publication date: 21 July 2020

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

Full work available at URL: https://arxiv.org/abs/2001.11836

zbMATH Keywords

Poisson bracketsbracesquasi-surfaces

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (1)

Center of Poisson and Skein algebras associated to loops on surfaces

Cites Work

• Poisson structures on moduli spaces of representations
• The symplectic nature of fundamental groups of surfaces
• Invariant functions on Lie groups and Hamiltonian flows of surface group representations
• The logarithms of Dehn twists
• Quasi-Poisson Structures on Representation Spaces of Surfaces
• Semisimple Representations of Quivers
• Double Poisson algebras
• Quasi-Poisson Manifolds
• The Yang-Mills equations over Riemann surfaces
• Intersection of curves on surfaces and their applications to mapping class groups

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