Does Khovanov homology detect the unknot?

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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.
7 pages, 2 figures

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Geometric Topology, Quantum Algebra, 57M27; 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/161857

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.4423
 http://arxiv.org/abs/0805.4423

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arXiv