On smoothly superslice knots

Abstract

A knot K in the 3-sphere is superslice if there is a slice disk D in the 4-ball such that the double of D along K is the unknotted 2-sphere S in $S^4$. Answering a question of Livingston-Meier, we find smoothly slice (in fact doubly slice) knots in the 3-sphere with Alexander polynomial equal to 1 that are not smoothly superslice.

4 pages

References in corpus (1)

• Distinguishing topologically and smoothly doubly slice knots

Cited by in corpus (1)

• A lower bound for the double slice genus