Two complete invariants of oriented knots
Abstract
We construct two complete invariants of oriented classical knots in space. The value of each invariant on any knot is a set, infinite for the first invariant and finite for the second. The finite set is computed algorithmically from any knot diagram in a finite number of steps. The algorithm reveals the knotting number of the knot as well.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2023
- DOI:
- arXiv:
- arXiv:2306.00954
- Bibcode:
- 2023arXiv230600954K
- Keywords:
-
- Mathematics - Geometric Topology;
- 57K10
- E-Print:
- 104 pages, 51 figures