Hyperbolic Knots and Torsion in Khovanov Homology
Geometric Topology
2022-05-18 v2
Abstract
In this note, we show that if there is a knot in having torsion in its Khovanov homology, then there are infinitely many hyperbolic knots and infinitely many prime satellite knots having torsion in their Khovanov homology. As an application, we give the first known examples of hyperbolic knots and links with odd (and other non- torsion) in their Khovanov homology.
Cite
@article{arxiv.2205.07747,
title = {Hyperbolic Knots and Torsion in Khovanov Homology},
author = {Micah Chrisman and Sujoy Mukherjee},
journal= {arXiv preprint arXiv:2205.07747},
year = {2022}
}
Comments
10 pages, 8 figures. Comments welcome. v2-typo corrected in ArXiv metadata. No change to paper