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Minimal Intersection Number of Flat Virtual Links
by
David Freund
Dartmouth College
Given two free homotopy classes of loops on a surface, it is natural to count the minimal number of intersection points up to stabilization and destabilization of the surface. We use generalizations of the Goldman Lie bracket and the Andersen–Mattes–Reshetikhin Poisson bracket to obtain lower bounds on this quantity.
Date received: April 10, 2017
Copyright © 2017 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 # cbof-08.