3-braid knots do not admit purely cosmetic surgeries
Geometric Topology
2021-02-17 v2
Abstract
A pair of surgeries on a knot is called purely cosmetic if the pair of resulting 3-manifolds are homeomorphic as oriented manifolds. Using recent work of Hanselman, we show that (nontrivial) knots which arise as the closure of a 3-stranded braid do not admit any purely cosmetic surgeries.
Keywords
Cite
@article{arxiv.2005.07278,
title = {3-braid knots do not admit purely cosmetic surgeries},
author = {Konstantinos Varvarezos},
journal= {arXiv preprint arXiv:2005.07278},
year = {2021}
}
Comments
10 pages, 3 figures; updated to avoid dependence on potentially unverified computational results