An infinite torus braid yields a categorified Jones-Wenzl projector

Lev Rozansky

Fundamenta Mathematicae (2014)

  • Volume: 225, Issue: 0, page 305-326
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Lev Rozansky. "An infinite torus braid yields a categorified Jones-Wenzl projector." Fundamenta Mathematicae 225.0 (2014): 305-326. <http://eudml.org/doc/282730>.

@article{LevRozansky2014,
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.},
author = {Lev Rozansky},
journal = {Fundamenta Mathematicae},
keywords = {categorification; Khovanov homology; Temperley-Lieb algebra; Jones-Wenzl projector; torus braid},
language = {eng},
number = {0},
pages = {305-326},
title = {An infinite torus braid yields a categorified Jones-Wenzl projector},
url = {http://eudml.org/doc/282730},
volume = {225},
year = {2014},
}

TY - JOUR
AU - Lev Rozansky
TI - An infinite torus braid yields a categorified Jones-Wenzl projector
JO - Fundamenta Mathematicae
PY - 2014
VL - 225
IS - 0
SP - 305
EP - 326
AB - 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.
LA - eng
KW - categorification; Khovanov homology; Temperley-Lieb algebra; Jones-Wenzl projector; torus braid
UR - http://eudml.org/doc/282730
ER -

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