Open Access
Translator Disclaimer
2007 The universal $sl_3$–link homology
Marco Mackaay, Pedro Vaz
Algebr. Geom. Topol. 7(3): 1135-1169 (2007). DOI: 10.2140/agt.2007.7.1135

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.

Citation

Download Citation

Marco Mackaay. Pedro Vaz. "The universal $sl_3$–link homology." Algebr. Geom. Topol. 7 (3) 1135 - 1169, 2007. https://doi.org/10.2140/agt.2007.7.1135

Information

Received: 8 May 2007; Accepted: 30 May 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1170.57011
MathSciNet: MR2336253
Digital Object Identifier: 10.2140/agt.2007.7.1135

Subjects:
Primary: 57M27
Secondary: 18G60 , 57M25 , 81R50

Keywords: $sl_3$ , foams , Khovanov , link homology

Rights: Copyright © 2007 Mathematical Sciences Publishers

JOURNAL ARTICLE
35 PAGES


SHARE
Vol.7 • No. 3 • 2007
MSP
Back to Top