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Colored quantum gl(2) homology of links
by
Krzysztof Putyra
University of Zurich
Coauthors: Anna Beliakova, Stephan Wehrli, Matthew Hogancamp
Colored gl(2) homology is a categorification of the colored Jones polynomial of a link, a quantum sl(2) polynomial associated with a framed link decorated with a symmetric representation of sl(2). There are many non-equivalent ways how to construct such homology. For instance, Khovanov obtained a finite complex by considering sl(2) homology of cablings of a given knot and maps induced by annuli that contracts cables in pairs. The other approach due to Cooper and Krushkal starts with an infinite complex that categories the Jones-Wenzl projector. In my talk I will show that both constructions coincide if the quantum sl(2) homology is considered instead the usual one.
Date received: May 10, 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 # cbpy-15.