Quasi-Lie bialgebras of loops in quasisurfaces

DOI10.1215/21562261-2022-0034OpenAlexW3000725940MaRDI QIDQ2685114

Vladimir G. Turaev

Publication date: 19 February 2023

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02279

zbMATH Keywords

surfacesbracketscobracketsquasisurfaces

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17Bxx) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Unnamed Item
• On the symplectic geometry of deformations of a hyperbolic surface
• The symplectic nature of fundamental groups of surfaces
• Invariant functions on Lie groups and Hamiltonian flows of surface group representations
• Combinatorial Lie bialgebras of curves on surfaces.
• Loops in surfaces and star-fillings
• The logarithms of Dehn twists
• Quasi-Poisson Structures on Representation Spaces of Surfaces
• Skein quantization of Poisson algebras of loops on surfaces
• The Yang-Mills equations over Riemann surfaces
• Intersection of curves on surfaces and their applications to mapping class groups

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