Abstract
A knot is said to be slice if it bounds a smooth properly embedded disk in $B^4$. We demonstrate that the Conway knot 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.
Citation
Lisa Piccirillo. "The Conway knot is not slice." Ann. of Math. (2) 191 (2) 581 - 591, March 2020. https://doi.org/10.4007/annals.2020.191.2.5
Information