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This article is cited in 6 scientific papers (total in 6 papers)
Three-Page Embeddings of Singular Knots
V. V. Vershininab, V. A. Kurlinc a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Universite Montpellier II
c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
A semigroup with 15 generators and 84 relations is constructed. The center of the semigroup is in a one-to-one correspondence with the set of all isotopy classes of nonoriented singular knots (links with finitely many double
intersections in general position) in $\mathbb{R}^3$.
Keywords:
isotopy classification, singular knot, three-page embedding, universal semigroup, knotted graph.
Received: 27.09.2002
Citation:
V. V. Vershinin, V. A. Kurlin, “Three-Page Embeddings of Singular Knots”, Funktsional. Anal. i Prilozhen., 38:1 (2004), 16–33; Funct. Anal. Appl., 38:1 (2004), 14–27
Linking options:
https://www.mathnet.ru/eng/faa93https://doi.org/10.4213/faa93 https://www.mathnet.ru/eng/faa/v38/i1/p16
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Abstract page: | 510 | Full-text PDF : | 216 | References: | 62 |
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