Lens space surgeries and a conjecture of Goda and Teragaito

Rasmussen, Jacob¹

¹ Department of Mathematics, Princeton University, Princeton, New Jersey 08544, USA

Geometry & topology, Tome 8 (2004) no. 3, pp. 1013-1031.

Résumé

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.

Détail

DOI : 10.2140/gt.2004.8.1013

Keywords: lens space surgery, Seifert genus, Heegaard Floer homology

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