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Constructing subdivision rules from alternating links

Authors
  • Rushton, Brian C.
Type
Published Article
Publication Date
Jul 31, 2009
Submission Date
Jul 31, 2009
Identifiers
arXiv ID: 0907.5554
Source
arXiv
License
Yellow
External links

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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