Volume 10, issue 2 (2010)

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Commensurability classes containing three knot complements

Neil Hoffman

Algebraic & Geometric Topology 10 (2010) 663–677
Abstract

This paper exhibits an infinite family of hyperbolic knot complements that have three knot complements in their respective commensurability classes.

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Keywords
commensurabilty, Berge knot, hidden symmetry, cyclic surgery
Mathematical Subject Classification 2000
Primary: 57M10, 57M25
References
Publication
Received: 16 May 2009
Revised: 17 September 2009
Accepted: 1 February 2010
Published: 13 March 2010
Authors
Neil Hoffman
Department of Mathematics
University of Texas
Austin, TX 78712
USA
http://www.ma.utexas.edu/~nhoffman