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A family of self-trial ribbon graphs that are not self-dual
by
Lowell Abrams
The George Washington University
Coauthors: Jo Ellis-Monaghan
We present a new framework for studying orbits and stabilizers of the ribbon group action on ribbon graphs. This generalizes the action of the Wilson group, which combines the actions of dualization and Petrialization (adding a twist to each ribbon). We then highlight a new infinite family of self-trial ribbon graphs that are not self-dual. This family has two novel aspects - its members are relatively quite small, and are the first known examples which are not Cayley maps.
Date received: November 18, 2016
Copyright © 2016 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 # cbnq-28.