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Alternating distances of knots
by
Adam Lowrance
Vassar College
An alternating distance is a knot invariant that measures how far away a knot is from alternating. Examples include
dealternating number, alternation number, Turaev genus, and alternating genus. In this talk, we give examples of families
of knots where the difference between two of the above alternating distances becomes arbitrarily large. The proofs often
use Khovanov or knot Floer homology.
Date received: December 1, 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-21.