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Gordian adjacency for torus knots

Gordian adjacency for torus knots

A knot K 1 is called Gordian adjacent to a knot K 2 if there exists an unknotting sequence for K 2 containing K 1 .We provide a sufficient condition for Gordian adjacency of torus knots via the study of knots in the thickened torus S 1 S 1 R.We …