An infinite torus braid yields a categorified Jones-Wenzl projector

Lev Rozansky

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arXiv · 1005.3266

An infinite torus braid yields a categorified Jones-Wenzl projector

Lev Rozansky

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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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Lev Rozansky. 2010-05-18. An infinite torus braid yields a categorified Jones-Wenzl projector. https://arxiv.org/abs/1005.3266

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