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

Masafumi Arai, Kouki Taniyama

研究成果: Article査読

抄録

A string figure is topologically a trivial knot lying on an imaginary plane orthogonal to the fingers with some crossings. The fingers prevent cancellation of these crossings. As a mathematical model of string figure, we consider a knot diagram on the xy-plane in xyz-space missing some straight lines parallel to the z-axis. These straight lines correspond to fingers. We study minimal number of crossings of these knot diagrams under Reidemeister moves missing these lines.

本文言語English
論文番号2050071
ジャーナルJournal of Knot Theory and its Ramifications
29
11
DOI
出版ステータスPublished - 2020 10

ASJC Scopus subject areas

  • Algebra and Number Theory

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