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arxiv: 0805.4423 · v1 · submitted 2008-05-28 · 🧮 math.GT · math.QA

Does Khovanov homology detect the unknot?

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keywords homologykhovanovknotsunknotdetectsclasscorollarydetect
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We determine a wide class of knots, which includes unknotting number one knots, within which Khovanov homology detects the unknot. A corollary is that the Khovanov homology of many satellite knots, including the Whitehead double, detects the unknot.

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