Characterization of Quasi-alternating Montesinos Links

Khaled Qazaqzeh; Nafaa Chbili; Balkees Qublan

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arXiv · 1205.4650

Characterization of Quasi-alternating Montesinos Links

Khaled Qazaqzeh·Nafaa Chbili·Balkees Qublan

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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.

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BibTeX RIS

Khaled Qazaqzeh, Nafaa Chbili, Balkees Qublan. 2012-05-21. Characterization of Quasi-alternating Montesinos Links. https://arxiv.org/abs/1205.4650

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