The Conway knot is not slice
Geometric Topology
2018-08-10 v1
Abstract
A knot is said to be slice if it bounds a smooth properly embedded disk in the 4-ball. We demonstrate that the Conway knot, 11n34 in the Rolfsen tables, is not slice. This completes the classification of slice knots under 13 crossings, and gives the first example of a non-slice knot which is both topologically slice and a positive mutant of a slice knot.
Keywords
Cite
@article{arxiv.1808.02923,
title = {The Conway knot is not slice},
author = {Lisa Piccirillo},
journal= {arXiv preprint arXiv:1808.02923},
year = {2018}
}
Comments
9 pages, 4 figures (one of which is large), 1 table