Quasi-alternating Montesinos links
The aim of this article is to detect new classes of quasi-alternating links. Quasi-alternating links are a natural generalization of alternating links. Their knot Floer and Khovanov homology are particularly easy to compute. Since knot Floer homology detects the genus of a knot as well as whether a...
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Zusammenfassung: | The aim of this article is to detect new classes of quasi-alternating links.
Quasi-alternating links are a natural generalization of alternating links.
Their knot Floer and Khovanov homology are particularly easy to compute. Since
knot Floer homology detects the genus of a knot as well as whether a knot is
fibered, as provided bounds on unknotting number and slice genus,
characterization of quasi-alternating links becomes an interesting open
problem. We show that there exist classes of non-alternating Montesinos links,
which are quasi-alternating. |
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DOI: | 10.48550/arxiv.0811.0270 |