sl(3)-Foams and the Khovanov-Lauda categorification of quantum sl(k)
Quantum Algebra
2009-05-14 v1 Geometric Topology
Abstract
In this paper I define certain interesting 2-functors from the Khovanov-Lauda 2-category which categorifies quantum sl(k), for any k>1, to a 2-category of universal sl(3) foams with corners. For want of a better name I use the term "foamation" to indicate those 2-functors. I conjecture the existence of similar 2-functors to the 2-category of sl(n) foams with corners, for any n>1.
Cite
@article{arxiv.0905.2059,
title = {sl(3)-Foams and the Khovanov-Lauda categorification of quantum sl(k)},
author = {Marco Mackaay},
journal= {arXiv preprint arXiv:0905.2059},
year = {2009}
}
Comments
20 pages, lots of figures