Toroidal surgeries on hyperbolic knots
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- by Masakazu Teragaito PDF
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Abstract:
For a hyperbolic knot $K$ in $S^3$, a toroidal surgery is Dehn surgery which yields a $3$-manifold containing an incompressible torus. It is known that a toroidal surgery on $K$ is an integer or a half-integer. In this paper, we prove that all integers occur among the toroidal slopes of hyperbolic knots with bridge index at most three and tunnel number one.References
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Additional Information
- Masakazu Teragaito
- Affiliation: Department of Mathematics and Mathematics Education, Faculty of Education, Hiroshima University, 1-1-1 Kagamiyama, Higashi-hiroshima 739-8524, Japan
- MR Author ID: 264744
- Email: teragai@hiroshima-u.ac.jp
- Received by editor(s): December 6, 2000
- Received by editor(s) in revised form: April 18, 2001
- Published electronically: February 4, 2002
- Communicated by: Ronald A. Fintushel
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2803-2808
- MSC (2000): Primary 57M50
- DOI: https://doi.org/10.1090/S0002-9939-02-06420-1
- MathSciNet review: 1900888