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arxiv: 1701.08425 · v2 · pith:BLNXSMWRnew · submitted 2017-01-29 · 🧮 math.GT

The classification of quasi-alternating Montesinos links

classification 🧮 math.GT
keywords montesinosquasi-alternatinglinksclassificationdefiniteboundsbranchedchampanerkar-ording
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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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