On The Virtual Cosmetic Surgery Conjecture
Geometric Topology
2021-10-12 v5
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'.
Keywords
Cite
@article{arxiv.1701.02361,
title = {On The Virtual Cosmetic Surgery Conjecture},
author = {Keegan Boyle},
journal= {arXiv preprint arXiv:1701.02361},
year = {2021}
}
Comments
Corrected Theorem 2 (and its proof) by adding a necessary condition that was missing. Thanks to Tye Lidman for pointing out the error