Volume 9, issue 2 (2009)

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ISSN (electronic): 1472-2739
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Cyclic and finite surgeries on Montesinos knots

Kazuhiro Ichihara and In Dae Jong

Algebraic & Geometric Topology 9 (2009) 731–742
Abstract

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

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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