Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777899 | Topology and its Applications | 2017 | 23 Pages |
Abstract
In the first few homological gradings, there is an isomorphism between the Khovanov homology of a link and the categorification of the chromatic polynomial of a graph related to the link. In this article, we show that all torsion in the categorification of the chromatic polynomial is of order two, and hence all torsion in Khovanov homology in the gradings where the isomorphism is defined is of order two. We also prove that odd Khovanov homology is torsion-free in its first few homological gradings.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Adam M. Lowrance, Radmila SazdanoviÄ,