Cosmetic surgeries on genus one knots
Geometric Topology
2009-04-28 v2
Abstract
In this paper, we prove that there are no truly cosmetic surgeries on genus one classical knots. If the two surgery slopes have the same sign, we give the only possibilities of reflectively cosmetic surgeries. The result is an application of Heegaard Floer theory and number theory.
Keywords
Cite
@article{arxiv.math/0512253,
title = {Cosmetic surgeries on genus one knots},
author = {Jiajun Wang},
journal= {arXiv preprint arXiv:math/0512253},
year = {2009}
}
Comments
This is the version published by Algebraic & Geometric Topology on 4 October 2006