English

An infinite torus braid yields a categorified Jones-Wenzl projector

Geometric Topology 2010-05-19 v1

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.

Cite

@article{arxiv.1005.3266,
  title  = {An infinite torus braid yields a categorified Jones-Wenzl projector},
  author = {Lev Rozansky},
  journal= {arXiv preprint arXiv:1005.3266},
  year   = {2010}
}

Comments

23 pages

R2 v1 2026-06-21T15:24:37.309Z