Lens space surgeries and a conjecture of Goda and Teragaito

Abstract

Using work of Ozsváth and Szabó, we show that if a nontrivial knot in S3 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. AMS Classification numbers Primary: 57M25 Secondary: 57R58 

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Cite this paper

@inproceedings{Rasmussen2004LensSS, title={Lens space surgeries and a conjecture of Goda and Teragaito}, author={Jacob Rasmussen}, year={2004} }