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arXiv:math/0405114 [math.GT]AbstractReferencesReviewsResources

Lens space surgeries and a conjecture of Goda and Teragaito

Jacob Rasmussen

Published 2004-05-06, updated 2005-03-30Version 3

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.

Comments: Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper27.abs.html Version 3: minor correction to reference [1]
Journal: Geom. Topol. 8(2004) 1013-1031
Categories: math.GT
Subjects: 57M25, 57R58
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