An infinite torus braid yields a categorified Jones-Wenzl projector

Details An infinite torus braid yields a categorified Jones-Wenzl projector An infinite torus braid yields a categorified Jones-Wenzl projector

2010-05-18

arxiv.org/abs/1005.3266v1

Mathematics

Geometric Topology

23 pages

Scientific paper

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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