Cable knots do not admit cosmetic surgeries
Geometric Topology
2018-04-09 v1
Abstract
Two Dehn surgeries on a knot are called purely cosmetic if their surgered manifolds are homeomorphic as oriented manifolds. Gordon conjectured that non-trivial knots in do not admit purely cosmetic surgeries. In this article, we confirm this conjecture for cable knots.
Keywords
Cite
@article{arxiv.1804.02210,
title = {Cable knots do not admit cosmetic surgeries},
author = {Ran Tao},
journal= {arXiv preprint arXiv:1804.02210},
year = {2018}
}
Comments
9 pages