An infinite torus braid yields a categorified Jones–Wenzl projector
Volume 225 / 2014
Fundamenta Mathematicae 225 (2014), 305-326
MSC: 57M.
DOI: 10.4064/fm225-1-14
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.
