Loops in surfaces and star-fillings

DOI10.1007/978-3-030-78148-4_21zbMath1497.55009arXiv1910.01602OpenAlexW4210304719MaRDI QIDQ2091287

Vladimir G. Turaev

Publication date: 1 November 2022

Full work available at URL: https://arxiv.org/abs/1910.01602

Mathematics Subject Classification ID

Loop spaces (55P35) Intersection homology and cohomology in algebraic topology (55N33)

Related Items (2)

Quasi-Lie bialgebras of loops in quasisurfaces ⋮ Center of Poisson and Skein algebras associated to loops on surfaces

Cites Work

• Moduli spaces for quilted surfaces and Poisson structures
• Center of the Goldman Lie algebra
• Hodge theory of the Turaev cobracket and the Kashiwara-Vergne problem
• The symplectic nature of fundamental groups of surfaces
• Invariant functions on Lie groups and Hamiltonian flows of surface group representations
• The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem
• Formal descriptions of Turaev's loop operations
• Topological constructions of tensor fields on moduli spaces
• The logarithms of Dehn twists
• Quasi-Poisson Structures on Representation Spaces of Surfaces
• Skein quantization of Poisson algebras of loops on surfaces
• Intersection of curves on surfaces and their applications to mapping class groups

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