In mathematics, specifically in knot theory, the Conway knot (or Conway's knot) is a particular knot with 11 crossings, named after John Horton Conway.

[1] It is related by mutation to the Kinoshita–Terasaka knot,[3] with which it shares the same Jones polynomial.

[4][5] Both knots also have the curious property of having the same Alexander polynomial and Conway polynomial as the unknot.

[6] The issue of the sliceness of the Conway knot was resolved in 2020 by Lisa Piccirillo, 50 years after John Horton Conway first proposed the knot.

[6][7][8] Her proof made use of Rasmussen's s-invariant, and showed that the knot is not a smoothly slice knot, though it is topologically slice (the Kinoshita–Terasaka knot is both).