Lens space surgeries and a conjecture of Goda and Teragaito

Abstract

Using work of Ozsvath and Szabo, 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.

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