Volume 14, issue 1 (2014)

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Small Seifert fibered surgery on hyperbolic pretzel knots

Jeffrey Meier

Algebraic & Geometric Topology 14 (2014) 439–487
Abstract

We complete the classification of hyperbolic pretzel knots admitting Seifert fibered surgeries. This is the final step in understanding all exceptional surgeries on hyperbolic pretzel knots. We also present results toward similar classifications for nonpretzel Montesinos knots of length three.

Keywords
Dehn surgery, Seifert fibered space, Montesinos knots
Mathematical Subject Classification 2010
Primary: 57M25
Secondary: 57M50
References
Publication
Received: 12 November 2012
Revised: 29 May 2013
Accepted: 29 June 2013
Published: 9 January 2014
Authors
Jeffrey Meier
Department of Mathematics
University of Texas at Austin
1 University Station C1200
Austin, TX 78712
USA
http://www.ma.utexas.edu/users/jmeier/