Does Khovanov homology detect the unknot?
Geometric Topology
2008-05-30 v1 Quantum Algebra
Abstract
We determine a wide class of knots, which includes unknotting number one knots, within which Khovanov homology detects the unknot. A corollary is that the Khovanov homology of many satellite knots, including the Whitehead double, detects the unknot.
Keywords
Cite
@article{arxiv.0805.4423,
title = {Does Khovanov homology detect the unknot?},
author = {Matthew Hedden and Liam Watson},
journal= {arXiv preprint arXiv:0805.4423},
year = {2008}
}
Comments
7 pages, 2 figures