An Exceptional Collection For Khovanov Homology
Quantum Algebra
2015-11-25 v3 Geometric Topology
Abstract
The Temperley-Lieb algebra is a fundamental component of SU(2) topological quantum field theories. We construct chain complexes corresponding to minimal idempotents in the Temperley-Lieb algebra. Our results apply to the framework which determines Khovanov homology. Consequences of our work include semi-orthogonal decompositions of categorifications of Temperley-Lieb algebras and Postnikov decompositions of all Khovanov tangle invariants.
Keywords
Cite
@article{arxiv.1209.1002,
title = {An Exceptional Collection For Khovanov Homology},
author = {Benjamin Cooper and Matt Hogancamp},
journal= {arXiv preprint arXiv:1209.1002},
year = {2015}
}