Colored sl(N) link homology via matrix factorizations
Geometric Topology
2011-10-14 v2
Abstract
The Reshetikhin-Turaev sl(N) polynomial of links colored by wedge powers of the defining representation has been categorified via several different approaches. Here, we give a concise introduction to the categorification using matrix factorizations, which is a direct generalization of the Khovanov-Rozansky homology. Full details of the construction are given in [arXiv:0907.0695]. We also briefly review deformations and applications of this categorification given in [arXiv:1002.2662, arXiv:1011.2254, arXiv:1102.0586].
Keywords
Cite
@article{arxiv.1110.2076,
title = {Colored sl(N) link homology via matrix factorizations},
author = {Hao Wu},
journal= {arXiv preprint arXiv:1110.2076},
year = {2011}
}
Comments
46 pages, 27 figures. This is a condensed version of [arXiv:0907.0695]