Volume and geometry of homogeneously adequate knots
arXiv:1406.0195
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.
29 pages, 19 figures. Figures best viewed in color. Version 2: Two figures added and some wording changed to improve readability