A move on diagrams that generates S-equivalence of knots
Geometric Topology
2007-05-23 v1
Abstract
Two knots in three-space are S-equivalent if they are indistinguishable by Seifert matrices. We show that S-equivalence is generated by the doubled-delta move on knot diagrams. It follows as a corollary that a knot has trivial Alexander polynomial if and only if it can be undone by doubled-delta moves.
Keywords
Cite
@article{arxiv.math/9911005,
title = {A move on diagrams that generates S-equivalence of knots},
author = {Swatee Naik and Theodore Stanford},
journal= {arXiv preprint arXiv:math/9911005},
year = {2007}
}
Comments
8 pages, 7 figures