Khovanov homology of the 2-cable detects the unknot

Details Khovanov homology of the 2-cable detects the unknot Khovanov homology of the 2-cable detects the unknot

2008-05-28

arxiv.org/abs/0805.4418v1

Mathematics

Geometric Topology

4 pages, no figures

Scientific paper

We prove that the Khovanov homology of the 2-cable detects the unknot. A
corollary is that Khovanov's categorification of the 2-colored Jones polynomial
detects the unknot.

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