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Volume and geometry of homogeneously adequate knots

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.

preprint2014arXivOpen access
Paige BartholomewShane McQuarrieJessica S. PurcellKai Weser
math.GT
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Open access4 authors1 topic
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Paige BartholomewShane McQuarrieJessica S. PurcellKai Weser

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