Lens space surgeries and a conjecture of Goda and Teragaito

Details Lens space surgeries and a conjecture of Goda and Teragaito Lens space surgeries and a conjecture of Goda and Teragaito

2004-05-06

arxiv.org/abs/math/0405114v3

Geom. Topol. 8(2004) 1013-1031

Mathematics

Geometric Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper27.abs.html Version 3: minor correction

Scientific paper

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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