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Mathematics
Geometric Topology
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.
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Submitted on 6 May 2004 (v1), last revised 30 Mar 2005 (this version, v3)
Updated
arXiv.org
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