Khovanov homology detects the figure-eight knot

Abstract

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.

References in corpus (9)

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• Khovanov homology detects the Hopf links
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• Knot Floer homology, link Floer homology and link detection
• Fixed-point-free pseudo-Anosov homeomorphisms, knot Floer homology and the cinquefoil
• Floer homology and non-fibered knot detection
• Floer homology and right-veering monodromy
• A deformation of Asaeda-Przytycki-Sikora homology
• An instanton take on some knot detection results
• Instantons and Khovanov homology in ${\mathbb{RP}}^3$