The classification of quasi-alternating Montesinos links
Geometric Topology
2017-12-18 v2
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 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.
Keywords
Cite
@article{arxiv.1701.08425,
title = {The classification of quasi-alternating Montesinos links},
author = {Ahmad Issa},
journal= {arXiv preprint arXiv:1701.08425},
year = {2017}
}
Comments
11 pages, 4 figures. Minor changes based on referee's comments; Corollary 2 added. To appear in Proceedings of the AMS