Two complete invariants of oriented knots
Geometric Topology
2023-06-02 v1
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.
Cite
@article{arxiv.2306.00954,
title = {Two complete invariants of oriented knots},
author = {Dimitrios Kodokostas},
journal= {arXiv preprint arXiv:2306.00954},
year = {2023}
}
Comments
104 pages, 51 figures