An infinite torus braid yields a categorified Jones-Wenzl projector

2010/05/18 by Rozansky, Lev · 4 citations
#57M27 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1005.3266

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.

Cited by

• The minimal Rickard complexes of braids on two strands
• Colored knot Floer homology: structures and examples
• Full twists and stability of knots and quivers
• Stable deformed \mathfrakgl_N homology of torus knots

Related

• The Khovanov homology of infinite braids
• Generators, projectors, and the Jones-Wenzl algebra
• Categorified Jones-Wenzl Projectors and Generalizations
• Jones-Wenzl projectors and odd Khovanov homology
• A Lie theoretic categorification of the coloured Jones polynomial