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2004 Lens space surgeries and a conjecture of Goda and Teragaito
Jacob Rasmussen
Geom. Topol. 8(3): 1013-1031 (2004). DOI: 10.2140/gt.2004.8.1013

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 p4g+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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Jacob Rasmussen. "Lens space surgeries and a conjecture of Goda and Teragaito." Geom. Topol. 8 (3) 1013 - 1031, 2004. https://doi.org/10.2140/gt.2004.8.1013

Information

Received: 13 May 2004; Accepted: 11 July 2004; Published: 2004
First available in Project Euclid: 21 December 2017

zbMATH: 1055.57010
MathSciNet: MR2087076
Digital Object Identifier: 10.2140/gt.2004.8.1013

Subjects:
Primary: 57M25
Secondary: 57R58

Rights: Copyright © 2004 Mathematical Sciences Publishers

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