The classification of quasi-alternating Montesinos links

In this paper, we complete the classification of quasi-alternating Montesinos links. We show that the quasi-alternating Montesinos links are precisely those identified independently by Qazaqzeh-Chbili-Qublan and Champanerkar-Ording. A consequence of our proof is that a Montesinos link L is quasi-alt...

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2018-09, Vol.146 (9), p.4047-4057
Main Author: ISSA, AHMAD
Format: Article
Language:English
Subjects:
G. TOPOLOGY
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Summary:In this paper, we complete the classification of quasi-alternating Montesinos links. We show that the quasi-alternating Montesinos links are precisely those identified independently by Qazaqzeh-Chbili-Qublan and Champanerkar-Ording. A consequence of our proof is that a Montesinos link L is quasi-alternating if and only if its double branched cover is an L-space, and bounds both a positive definite and a negative definite 4-manifold with vanishing first homology.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/14053