Knots yielding homeomorphic lens spaces by Dehn surgery
Geometric Topology
2008-09-02 v2
Abstract
We show that there exist infinitely many pairs of distinct knots in the 3-sphere such that each pair can yield homeomorphic lens spaces by the same Dehn surgery. Moreover, each knot of the pair can be chosen to be a torus knot, a satellite knot or a hyperbolic knot, except that both cannot be satellite knots simultaneously. This exception is shown to be unavoidable by the classical theory of binary quadratic forms.
Keywords
Cite
@article{arxiv.0808.2852,
title = {Knots yielding homeomorphic lens spaces by Dehn surgery},
author = {Toshio Saito and Masakazu Teragaito},
journal= {arXiv preprint arXiv:0808.2852},
year = {2008}
}
Comments
21 pages, 11 figures. Some errors in References are revised in version 2