|
Organizers |
Minimizing intersections points of flat virtual links
by
David Freund
Dartmouth College
Coauthors: Vladimir Chernov, Rustam Sadykov
A virtual n-string is a collection of n closed curves on an oriented surface M and counting the minimal number of intersection points in the homotopy class of this collection is a classical problem. We address the analogous problem for flat virtual links, i.e., equivalence classes of virtual n-strings related by homotopy and by stabilization/destabilization of the supporting surface. In particular, we use generalizations of the Cahn cobracket and the Andersen-Mattes-Reshetikhin bracket to obtain the minimal number of intersection points for a flat virtual link and show that this value is realized on a minimal genus representative.
Date received: April 20, 2018
Copyright © 2018 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 # cboy-24.