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Spectra for volume and determinant density
by
Abhijit Champanerkar
College of Staten Island and The Graduate Center, CUNY
Coauthors: Ilya Kofman and Jessica Purcell
We study the asymptotic behaviour of two basic knot invariants, a geometric invariant called the volume density defined as volume per crossing number, and a diagrammatic invariant called the determinant density defined as 2 pi log det(K) per crossing number. We will discuss theorems and conjectures relating the asymptotic behaviour of these invariants.
Date received: December 26, 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-72.