Abstract
We show that all non-trivial exceptional surgeries on hyperbolic alternating knots in the 3–sphere are integral surgeries.
Citation
Kazuhiro Ichihara. "All exceptional surgeries on alternating knots are integral surgeries." Algebr. Geom. Topol. 8 (4) 2161 - 2173, 2008. https://doi.org/10.2140/agt.2008.8.2161
Information
Received: 17 August 2008; Revised: 5 October 2008; Accepted: 13 October 2008; Published: 2008
First available in Project Euclid: 20 December 2017
zbMATH: 1158.57300
MathSciNet: MR2460884
Digital Object Identifier: 10.2140/agt.2008.8.2161
Subjects:
Primary:
57M50
Keywords:
Alternating knot
,
Alternating knot
,
essential lamination
,
exceptional surgery
,
integral surgery
,
Montesinos knot
,
Seifert fibered surgery
Rights: Copyright © 2008 Mathematical Sciences Publishers
