The universal sl3-link homology
Geometric Topology
2014-10-01 v2
Abstract
We define the universal sl3-link homology, which depends on 3 parameters, following Khovanov's approach with foams. We show that this 3-parameter link homology, when taken with complex coefficients, can be divided into 3 isomorphism classes. The first class is the one to which Khovanov's original sl3-link homology belongs, the second is the one studied by Gornik in the context of matrix factorizations and the last one is new. Following an approach similar to Gornik's we show that this new link homology can be described in terms of Khovanov's original sl2-link homology.
Keywords
Cite
@article{arxiv.math/0603307,
title = {The universal sl3-link homology},
author = {Marco Mackaay and Pedro Vaz},
journal= {arXiv preprint arXiv:math/0603307},
year = {2014}
}
Comments
v2, 29pp, different proof of Lemma 3.10, extra comments below Def. 3.16 and minor corrections and typos