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Constructing subdivision rules from alternating links
Author(s):
Brian
Rushton
Journal:
Conform. Geom. Dyn.
14
(2010),
1-13.
MSC (2010):
Primary 57M50
Posted:
January 5, 2010
MathSciNet review:
2579862
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Abstract |
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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:
10.1090/S1088-4173-09-00205-7
PII:
S 1088-4173(09)00205-7
Received by editor(s):
August 6, 2009
Posted:
January 5, 2010
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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