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An alternative approach to hyperbolic structures on link complements

Morwen Thistlethwaite and Anastasiia Tsvietkova
Algebraic & Geometric Topology 14 (2014) 1307–1337
DOI: 10.2140/agt.2014.14.1307
Abstract

An alternative method is described for determining the hyperbolic structure on a link complement, and some of its elementary consequences are examined. The method is particularly suited to alternating links.

Keywords
classical link, hyperbolic structure, tangle
Mathematical Subject Classification 2010
Primary: 57M25, 57M50
References
Publication
Received: 1 August 2011
Revised: 9 September 2013
Accepted: 29 September 2013
Published: 7 April 2014
Authors
Morwen Thistlethwaite
Department of Mathematics
University of Tennessee
Knoxville, TN 37996
USA
http://www.math.utk.edu/~morwen
Anastasiia Tsvietkova
Department of Mathematics
University of California, Davis
One Shields Avenue
Davis, CA 95616
USA
http://www.math.ucdavis.edu/~tsvietkova