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Organizers |
Geometrically and diagrammatically maximal knots
by
Ilya Kofman
College of Staten Island and The Graduate Center, CUNY
Coauthors: Abhijit Champanerkar, Jessica Purcell
The ratio of volume to crossing number of a hyperbolic knot is bounded above by the volume of a regular ideal octahedron, and a similar bound is conjectured for the knot determinant per crossing. We show that many families of alternating knots and links simultaneously maximize both ratios.
Date received: December 29, 2014
Copyright © 2014 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbjz-77.