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gl(1|1) and an odd annular Bar-Natan category
by
Casey Necheles
Syracuse University
Coauthors: Stephan Wehrli
We introduce an odd version of the annular Bar-Natan category and show it is equivalent to a dotted version of the odd Temperley-Lieb supercategory defined by Brundan and Ellis. After setting dots equal to zero, this category embeds into the representation category of the Lie superalgebra gl(1|1). This gives us an interpretation of the gl(1|1) action on odd annular Khovanov homology shown in a recent paper by Grigsby and Wehrli.
Date received: January 7, 2019
Copyright © 2019 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 # cbpq-45.