%0 Journal Article
%T A move on diagrams that generates S-equivalence of knots
%A Swatee Naik
%A Theodore Stanford
%J Mathematics
%D 1999
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/9911005v1