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arXiv · 0907.5554

Constructing subdivision rules from alternating links

Brian C. Rushton
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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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Brian C. Rushton. 2009-07-31. Constructing subdivision rules from alternating links. https://arxiv.org/abs/0907.5554

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