A move on diagrams that generates S-equivalence of knots

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dc.creatorNaik, Swatee
dc.creatorStanford, Theodore
dc.date1999-11-02
dc.date.accessioned2026-07-07T05:31:24Z
dc.date.available2026-07-07T05:31:24Z
dc.descriptionTwo 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.
dc.description8 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math/9911005
dc.identifierhttp://arxiv.org/abs/math/9911005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79327
dc.subjectGeometric Topology
dc.subject57M25
dc.titleA move on diagrams that generates S-equivalence of knots
dc.typetext

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