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A generalization of the Turaev cobracket and the minimal self-intersection number of a curve on a surface

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Publication:374062
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zbMath1316.57016arXiv1004.0532MaRDI QIDQ374062

Patricia Cahn

Publication date: 25 October 2013

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0532

File on IPFS


zbMATH Keywords

Lie bialgebrasfree homotopy classescurves on surfacesself-intersections


Mathematics Subject Classification ID

General low-dimensional topology (57M99) Lie bialgebras; Lie coalgebras (17B62)


Related Items (5)

A generalization of Turaev’s virtual string cobracket and self-intersections of virtual strings ⋮ Minimizing intersection points of curves under virtual homotopy ⋮ Lie algebras of curves and loop-bundles on surfaces ⋮ Intersection of curves on surfaces and their applications to mapping class groups ⋮ Knot diagrams on a punctured sphere as a model of string figures







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