Khovanov homology detects the figure-eight knot

Khovanov homology detects the figure-eight knot

Using Dowlin's spectral sequence from Khovanov homology to knot Floer homology, we prove that reduced Khovanov homology (over \(\mathbb{Q}\)) detects the figure-eight knot.

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Veröffentlicht in:arXiv.org 2020-07
Hauptverfasser: Baldwin, John A, Dowlin, Nathan, Adam Simon Levine, Lidman, Tye, Sazdanovic, Radmila
Format: Artikel
Sprache:eng
Schlagworte:
Homology
Knots
Mathematics - Geometric Topology
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Zusammenfassung:Using Dowlin's spectral sequence from Khovanov homology to knot Floer homology, we prove that reduced Khovanov homology (over \(\mathbb{Q}\)) detects the figure-eight knot.
ISSN:2331-8422
DOI:10.48550/arxiv.2007.01269