Volume 8, issue 3 (2004)

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Lens space surgeries and a conjecture of Goda and Teragaito

Jacob Rasmussen

Geometry & Topology 8 (2004) 1013–1031
 arXiv: math.GT/0405114
Abstract

Using work of Ozsváth and Szabó, we show that if a nontrivial knot in ${S}^{3}$ admits a lens space surgery with slope $p$, then $p\le 4g+3$, where $g$ is the genus of the knot. This is a close approximation to a bound conjectured by Goda and Teragaito.

Keywords
lens space surgery, Seifert genus, Heegaard Floer homology
Primary: 57M25
Secondary: 57R58
Publication
Accepted: 11 July 2004
Published: 7 August 2004
Proposed: Peter Ozsvath
Seconded: Tomasz Mrowka, Peter Kronheimer
Authors
 Jacob Rasmussen Department of Mathematics Princeton University Princeton New Jersey 08544 USA