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Representations of loop braid groups
by
Eric Rowell
Texas A&M University
Coauthors: Zhenghan Wang, Zoltan Kadar, Paul Martin
Loop braid groups are the motion groups of oriented unlinks in a 3-ball. They could potentially arise as symmetries of 3-dimensional topological phases of matter admitting string-like excitations (e.g. vortices). I will report on recent work with Kadar, Martin and Wang in which we study local representations of the loop braid groups, via extensions of Yang-Baxter operators.
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-16.