A remark on Khovanov homology and two-fold branched covers

Details A remark on Khovanov homology and two-fold branched covers A remark on Khovanov homology and two-fold branched covers

2008-08-20

arxiv.org/abs/0808.2797v2

Mathematics

Geometric Topology

6 pages, 2 figures. Version 2 corrects an error; the source includes a Mathematica notebook for the calculations in the paper

Scientific paper

Examples of knots and links distinguished by the total rank of their Khovanov
homology but sharing the same two-fold branched cover are given. As a result,
Khovanov homology does not yield an invariant of two-fold branched covers.

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