Knot diagrams on a punctured sphere as a model of string figures

DOI10.1142/S0218216520500716zbMath1455.57003arXiv2002.09709OpenAlexW3083482963MaRDI QIDQ3388023

Kouki Taniyama, Masafumi Arai

Publication date: 8 January 2021

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09709

zbMATH Keywords

knotcrossing numberTuraev cobracketknot diagramReidemeister movestring figureminimal self-intersection number

Mathematics Subject Classification ID

2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Knot theory (57K10)

Cites Work

• A generalization of the Turaev cobracket and the minimal self-intersection number of a curve on a surface
• Intersections of curves on surfaces
• A KHOVANOV TYPE INVARIANT DERIVED FROM AN UNORIENTED HQFT FOR LINKS IN THICKENED SURFACES
• Skein quantization of Poisson algebras of loops on surfaces

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