The universal sl3-link homology

Details The universal sl3-link homology The universal sl3-link homology

Publishing date

2006-03-13

URL

arxiv.org/abs/math/0603307v2

Science

Mathematics

Field

Geometric Topology

Additional info

v2, 29pp, different proof of Lemma 3.10, extra comments below Def. 3.16 and minor corrections and typos

Type

Scientific paper

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.

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