Volume and geometry of homogeneously adequate knots

Paige Bartholomew; Shane McQuarrie; Jessica S. Purcell; Kai Weser

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arXiv · 1406.0195

Volume and geometry of homogeneously adequate knots

Paige Bartholomew·Shane McQuarrie·Jessica S. Purcell·Kai Weser

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Abstract

We bound the hyperbolic volumes of a large class of knots and links, called homogeneously adequate knots and links, in terms of their diagrams. To do so, we use the decomposition of these links into ideal polyhedra, developed by Futer, Kalfagianni, and Purcell. We identify essential product disks in these polyhedra.

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Paige Bartholomew, Shane McQuarrie, Jessica S. Purcell, Kai Weser. 2014-06-01. Volume and geometry of homogeneously adequate knots. https://arxiv.org/abs/1406.0195

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