Does Khovanov homology detect the unknot?

Details Does Khovanov homology detect the unknot? Does Khovanov homology detect the unknot?

2008-05-28

arxiv.org/abs/0805.4423v1

Mathematics

Geometric Topology

7 pages, 2 figures

Scientific paper

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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