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Commensurability classes containing three knot complements

Neil Hoffman
Algebraic & Geometric Topology 10 (2010) 663–677
DOI: 10.2140/agt.2010.10.663
Abstract

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

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