Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Dehn surgeries on strongly invertible knots which yield lens spaces

Authors: Mikami Hirasawa and Koya Shimokawa
Journal: Proc. Amer. Math. Soc. 128 (2000), 3445-3451
MSC (2000): Primary 57N10, 57M25
Published electronically: May 18, 2000
MathSciNet review: 1676336
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information


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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 57N10, 57M25

Retrieve articles in all journals with MSC (2000): 57N10, 57M25

Additional Information

Mikami Hirasawa
Affiliation: Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan

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

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
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
Article copyright: © Copyright 2000 American Mathematical Society