V. V. Vershinin, V. A. Kurlin, “Three-Page Embeddings of Singular Knots”, Funktsional. Anal. i Prilozhen., 2004, Volume 38, Issue 1,Pages <nobr>16

This article is cited in 6 papers

Three-Page Embeddings of Singular Knots

V. V. Vershinin^ab, V. A. Kurlin^c

^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.

UDC: 515.162.8

Received: 27.09.2002

DOI: 10.4213/faa93