English

On smoothly superslice knots

Geometric Topology 2016-10-14 v1

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 S4S^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.

Keywords

Cite

@article{arxiv.1601.03453,
  title  = {On smoothly superslice knots},
  author = {Daniel Ruberman},
  journal= {arXiv preprint arXiv:1601.03453},
  year   = {2016}
}

Comments

4 pages

R2 v1 2026-06-22T12:29:08.424Z