An infinite torus braid yields a categorified Jones-Wenzl projector

preprint2010arXivOpen access

Abstract

A sequence of Temperley-Lieb algebra elements corresponding to torus braids with growing twisting numbers converges to the Jones-Wenzl projector. We show that a sequence of categorification complexes of these braids also has a limit which may serve as a categorification of the Jones-Wenzl projector.

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