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Toroidal surgeries on hyperbolic knots
Author(s):
Masakazu
Teragaito
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2803-2808.
MSC (2000):
Primary 57M50
Posted:
February 4, 2002
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Abstract:
For a hyperbolic knot  in  , a toroidal surgery is Dehn surgery which yields a  -manifold containing an incompressible torus. It is known that a toroidal surgery on  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
Email:
teragai@hiroshima-u.ac.jp
DOI:
10.1090/S0002-9939-02-06420-1
PII:
S 0002-9939(02)06420-1
Received by editor(s):
December 6, 2000
Received by editor(s) in revised form:
April 18, 2001
Posted:
February 4, 2002
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2002,
American Mathematical Society
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