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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

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