Geometry & Topology, Vol. 8 (2004) Paper no. 27, pages 1013--1031.

Lens space surgeries and a conjecture of Goda and Teragaito

Jacob Rasmussen

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.

Keywords. Lens space surgery, Seifert genus, Heegaard Floer homology

AMS subject classification. Primary: 57M25. Secondary: 57R58.

DOI: 10.2140/gt.2004.8.1013

E-print: arXiv:math.GT/0405114

Submitted to GT on 13 May 2004. Paper accepted 11 July 2004. Paper published 7 August 2004.

Notes on file formats

Jacob Rasmussen
Department of Mathematics, Princeton University
Princeton, NJ 08544, USA

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