The classification of quasi-alternating Montesinos links

Ahmad Issa

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arXiv · 1701.08425

The classification of quasi-alternating Montesinos links

Ahmad Issa

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Abstract

In this note, 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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Ahmad Issa. 2017-01-29. The classification of quasi-alternating Montesinos links. https://arxiv.org/abs/1701.08425

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