Three-Page Embeddings of Singular Knots

V. V. Vershinin ; V. A. Kurlin

Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 1, pp. 16-33.

Résumé

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 $\mathbb{R}^3$.

Détail

Keywords: isotopy classification, singular knot, three-page embedding, universal semigroup, knotted graph.

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