Three-page embeddings of singular knots
Abstract
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 three-dimensional space.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- September 2003
- DOI:
- 10.48550/arXiv.math/0309325
- arXiv:
- arXiv:math/0309325
- Bibcode:
- 2003math......9325K
- Keywords:
-
- Mathematics - Geometric Topology;
- 57M25
- E-Print:
- 14 pages, 5 figures