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Constructing subdivision rules from alternating links

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Type
Published Article
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arXiv ID: 0907.5554
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arXiv
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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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