Three-Page Embeddings of Singular Knots ∗

  title={Three-Page Embeddings of Singular Knots ∗},
  author={Vitaliy Kurlin and Vladimir Vershinin},
Construction of a semigroup with 15 generators and 84 relations is given. The center of this semigroup is in one-to-one correspondence with the set of all isotopy classes of non-oriented singular knots (links with finitely many double intersections in general position) in R 3 . 

From This Paper

Figures, tables, and topics from this paper.

Explore Further: Topics Discussed in This Paper


Publications referenced by this paper.

The singular braid monoid embeds in a group

  • E. Keyman R. Fenn, C. Rourke
  • Proc . Steklov Inst . Math .
  • 2000

Special positions for essential tori in link complements

  • W. W. Menasco J. S. Birman
  • J . Knot Theory and Its Ramifications
  • 1998

A limitation on algorithms for constructing minimal arcpresentations from link diagrams

  • P. R. Cromwell E. Beltrami
  • Minimal arcpresentations of some nonalternating…
  • 1997

Finite - type invariants of knots , links , and graphs

  • J.
  • Knot Theory and Its Ramifications
  • 1997

An upper bound of arc index of links , Math

  • C. Park Y. Bae
  • Topology
  • 1994

Similar Papers

Loading similar papers…