Characterization of Quasi-alternating Montesinos Links
Geometric Topology
2012-05-22 v1
Abstract
We construct an infinite family of quasi-alternating links from a given quasi-alternating link by replacing a crossing by a product of rational tangles each of which extends that crossing. Consequently, we determine an infinite family of quasi-alternating Montesinos links. This family contains all the classes of quasi-alternating Montesinos links that have been detected by Widmar in \cite{W}. We conjecture that this family contains all quasi-alternating Montesinos links up to mirror image that are not alternating and this will characterize all quasi-alternating Montesinos links.
Keywords
Cite
@article{arxiv.1205.4650,
title = {Characterization of Quasi-alternating Montesinos Links},
author = {Khaled Qazaqzeh and Nafaa Chbili and Balkees Qublan},
journal= {arXiv preprint arXiv:1205.4650},
year = {2012}
}
Comments
9 pages 3 figures