Conway knot

In knot theory, the Conway knot is a specific knot with eleven crossings, named after John Horton Conway. It shares the same Jones polynomial, Alexander polynomial, and Conway polynomial as the unknot, a property it shares with the related Kinoshita-Terasaka knot, to which it is connected through a mutation operation. The Conway knot is hyperbolic, prime, chiral, and topologically slice. The long open question of whether it is also smoothly slice was resolved in 2020 by Lisa Piccirillo, fifty years after Conway first proposed the knot, when she showed that it is not smoothly slice, distinguishing it from its mutant relative.