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 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.

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

References in corpus (1)

• Holomorphic disks and genus bounds

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