Dehn surgeries on strongly invertible knots which yield lens spaces
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- by Mikami Hirasawa and Koya Shimokawa PDF
- Proc. Amer. Math. Soc. 128 (2000), 3445-3451 Request permission
Abstract:
In this article we show no Dehn surgery on nontrivial strongly invertible knots can yield the lens space $L(2p,1)$ for any integer $p$. In order to do that, we determine band attaches to $(2,2p)$-torus links producing the trivial knot.References
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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
- MR Author ID: 630757
- ORCID: 0000-0001-7196-9060
- Email: simokawa@poisson.ms.u-tokyo.ac.jp, koya@math.is.tohoku.ac.jp
- Received by editor(s): November 5, 1997
- Received by editor(s) in revised form: January 8, 1999
- Published electronically: 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 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3445-3451
- MSC (2000): Primary 57N10, 57M25
- DOI: https://doi.org/10.1090/S0002-9939-00-05417-4
- MathSciNet review: 1676336