The classification of quasi-alternating Montesinos links

Issa, Ahmad

doi:10.1090/proc/14053

The classification of quasi-alternating Montesinos links
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by Ahmad Issa PDF

Proc. Amer. Math. Soc. 146 (2018), 4047-4057

Abstract:

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.

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