On The Virtual Cosmetic Surgery Conjecture
arXiv:1701.02361
Abstract
Let K be a knot in S^3, and M and M' be distinct Dehn surgeries along K. We investigate when M covers M'. When K is a torus knot, we provide a complete classification of such covers. When K is a hyperbolic knot, we provide partial results in the direction of the conjecture that M never covers M'.
arXiv commentCorrected Theorem 2 (and its proof) by adding a necessary condition that was missing. Thanks to Tye Lidman for pointing out the error