Twisting quasi-alternating links
Geometric Topology
2009-04-22 v3
Abstract
Quasi-alternating links are homologically thin for both Khovanov homology and knot Floer homology. We show that every quasi-alternating link gives rise to an infinite family of quasi-alternating links obtained by replacing a crossing with an alternating rational tangle. Consequently, we show that many pretzel links are quasi-alternating, and we determine the thickness of Khovanov homology for "most" pretzel links with arbitrarily many strands.
Keywords
Cite
@article{arxiv.0712.2590,
title = {Twisting quasi-alternating links},
author = {Abhijit Champanerkar and Ilya Kofman},
journal= {arXiv preprint arXiv:0712.2590},
year = {2009}
}
Comments
Revised for publication in Proc. Amer. Math. Soc., 8 pages