A move on diagrams that generates S-equivalence of knots

Details A move on diagrams that generates S-equivalence of knots A move on diagrams that generates S-equivalence of knots

1999-11-02

arxiv.org/abs/math/9911005v1

Mathematics

Geometric Topology

8 pages, 7 figures

Scientific paper

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.

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