The Khovanov homology of infinite braids
Geometric Topology
2016-10-17 v1
Abstract
We show that the limiting Khovanov chain complex of any infinite positive braid categorifies the Jones-Wenzl projector. This result extends Lev Rozansky's categorification of the Jones-Wenzl projectors using the limiting complex of infinite torus braids. We also show a similar result for the limiting Lipshitz-Sarkar-Khovanov homotopy types of the closures of such braids. Extensions to more general infinite braids are also considered.
Keywords
Cite
@article{arxiv.1610.04582,
title = {The Khovanov homology of infinite braids},
author = {Gabriel Islambouli and Michael Willis},
journal= {arXiv preprint arXiv:1610.04582},
year = {2016}
}