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Constructing subdivision rules from alternating links


Author: Brian Rushton
Journal: Conform. Geom. Dyn. 14 (2010), 1-13
MSC (2010): Primary 57M50
DOI: https://doi.org/10.1090/S1088-4173-09-00205-7
Published electronically: January 5, 2010
MathSciNet review: 2579862
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Abstract | References | Similar Articles | Additional Information

Abstract: The study of geometric group theory has suggested several theorems related to subdivision tilings that have a natural hyperbolic structure. However, few examples exist. We construct subdivision tilings for the complement of every nonsingular, prime alternating link. These tilings define a combinatorial space at infinity, similar to the space at infinity for word hyperbolic groups.


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Additional Information

Brian Rushton
Affiliation: Department of Mathematics, Brigham Young University, Provo, Utah 84602
Email: brirush@gmail.com

DOI: https://doi.org/10.1090/S1088-4173-09-00205-7
Received by editor(s): August 6, 2009
Published electronically: January 5, 2010
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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