English

Lens space surgeries and a conjecture of Goda and Teragaito

Geometric Topology 2014-11-11 v3

Abstract

Using work of Ozsvath and Szabo, we show that if a nontrivial knot in S^3 admits a lens space surgery with slope p, then p <= 4g+3, where g is the genus of the knot. This is a close approximation to a bound conjectured by Goda and Teragaito.

Keywords

Cite

@article{arxiv.math/0405114,
  title  = {Lens space surgeries and a conjecture of Goda and Teragaito},
  author = {Jacob Rasmussen},
  journal= {arXiv preprint arXiv:math/0405114},
  year   = {2014}
}

Comments

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper27.abs.html Version 3: minor correction to reference [1]