Intersection of curves on surfaces and their applications to mapping class groups

DOI10.5802/aif.3001zbMath1370.57009arXiv1112.3841OpenAlexW2963365145MaRDI QIDQ5962656

Yusuke Kuno, Nariya Kawazumi

Publication date: 15 February 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3841

zbMATH Keywords

mapping class groupDehn twistLie bialgebraGoldman bracketJohnson homomorphismsTuraev cobracket

Mathematics Subject Classification ID

Related Items (16)

Hodge theory of the Turaev cobracket and the Kashiwara-Vergne problem ⋮ Self-intersections of curves on a surface and Bernoulli numbers ⋮ Johnson homomorphisms ⋮ A non-commutative Reidemeister-Turaev torsion of homology cylinders ⋮ The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem ⋮ Quasi-Lie bialgebras of loops in quasisurfaces ⋮ Hodge theory of the Goldman bracket ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism ⋮ Topological constructions of tensor fields on moduli spaces ⋮ Higher genus Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra ⋮ Generalized Dehn twists on surfaces and homology cylinders ⋮ Intersection of curves on surfaces and their applications to mapping class groups ⋮ A comparison of classes in the Johnson cokernels of the mapping class groups of surfaces ⋮ Goldman-Turaev formality implies Kashiwara-Vergne ⋮ Quasi-Poisson structures on moduli spaces of quasi-surfaces ⋮ Loops in surfaces and star-fillings

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