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arxiv: 0907.2104 · v2 · submitted 2009-07-13 · 🧮 math.GT · math.QA

Chain homotopy maps and a universal differential for Khovanov-type homology

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keywords differentialchainhomotopymapsuniversalhomologykhovanovkhovanov-type
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We give chain homotopy maps of Khovanov-type link homology of a universal differential. The universal differential, discussed by Mikhail Khovanov, Marco Mackaay, Paul Turner and Pedro Vaz, contains the original Khovanov's differential and Lee's differential. We also consider the conditions of any differential ensuring the Reidemeister invariance for the chain homotopy maps.

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