A move on diagrams that generates S-equivalence of knots

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
8 pages, 7 figures

Keywords

Geometric Topology, 57M25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/79327

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911005
 http://arxiv.org/abs/math/9911005

Collections

arXiv