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arxiv: 0808.2797 · v2 · submitted 2008-08-20 · 🧮 math.GT

A remark on Khovanov homology and two-fold branched covers

classification 🧮 math.GT
keywords branchedhomologykhovanovtwo-foldcoverscoverdistinguishedexamples
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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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