Volume and geometry of homogeneously adequate knots
Geometric Topology
2014-06-18 v2
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.
Keywords
Cite
@article{arxiv.1406.0195,
title = {Volume and geometry of homogeneously adequate knots},
author = {Paige Bartholomew and Shane McQuarrie and Jessica S. Purcell and Kai Weser},
journal= {arXiv preprint arXiv:1406.0195},
year = {2014}
}
Comments
29 pages, 19 figures. Figures best viewed in color. Version 2: Two figures added and some wording changed to improve readability