Algebraic & Geometric Topology Volume 9, issue 2 (2009)

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ISSN 1472-2739 (online)

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Cyclic and finite surgeries on Montesinos knots

Kazuhiro Ichihara and In Dae Jong

Algebraic & Geometric Topology 9 (2009) 731–742

DOI: 10.2140/agt.2009.9.731

Abstract

We give a complete classification of the Dehn surgeries on Montesinos knots which yield manifolds with cyclic or finite fundamental groups.

Keywords

cyclic surgery, lens surgery, finite surgery, Montesinos knot

Mathematical Subject Classification 2000

Primary: 57M50

Secondary: 57M25

References

Publication

Received: 2 November 2008

Revised: 25 March 2009

Accepted: 26 March 2009

Published: 20 April 2009

Authors

Kazuhiro Ichihara
School of Mathematics Education Nara University of Education Takabatake-cho Nara 630-8528 Japan
http://mailsrv.nara-edu.ac.jp/~ichihara/index.html
In Dae Jong
Graduate School of Science Osaka City University Osaka 558-8585 Japan
http://www.ex.media.osaka-cu.ac.jp/~d07sa009/index.html