Homologically thin, non-quasi-alternating links
Geometric Topology
2009-06-15 v1
Abstract
We exhibit the first examples of links which are homologically thin but not quasi-alternating. To show that they are not quasi-alternating, we argue that none of their branched double-covers bounds a negative definite 4-manifold with non-torsion H_1. Using this method, we also complete the determination of the quasi-alternating pretzel links.
Keywords
Cite
@article{arxiv.0906.2222,
title = {Homologically thin, non-quasi-alternating links},
author = {Joshua Greene},
journal= {arXiv preprint arXiv:0906.2222},
year = {2009}
}
Comments
10 pages, 2 figures