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Dehn surgeries on strongly invertible knots which yield lens spaces
Author(s):
Mikami
Hirasawa;
Koya
Shimokawa
Journal:
Proc. Amer. Math. Soc.
128
(2000),
3445-3451.
MSC (2000):
Primary 57N10, 57M25
Posted:
May 18, 2000
MathSciNet review:
1676336
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Abstract:
In this article we show no Dehn surgery on nontrivial strongly invertible knots can yield the lens space  for any integer  . In order to do that, we determine band attaches to  -torus links producing the trivial knot.
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Additional Information:
Mikami
Hirasawa
Affiliation:
Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan
Email:
hirasawa@math.sci.osaka-u.ac.jp
Koya
Shimokawa
Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, Komaba, Tokyo 153-8914, Japan
Address at time of publication:
Graduate School of Information Sciences, Tohoku University, Katahira Aoba-Ku, Sendai 980-8577, Japan
Email:
simokawa@poisson.ms.u-tokyo.ac.jp, koya@math.is.tohoku.ac.jp
DOI:
10.1090/S0002-9939-00-05417-4
PII:
S 0002-9939(00)05417-4
Keywords:
Dehn surgery,
strongly invertible knot,
lens space,
banding
Received by editor(s):
November 5, 1997
Received by editor(s) in revised form:
January 8, 1999
Posted:
May 18, 2000
Additional Notes:
This research was partially supported by Fellowships of the Japan Society for the Promotion of Science for Japanese Junior Scientists.
Communicated by:
Ronald Fintushel
Copyright of article:
Copyright
2000,
American Mathematical Society
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