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FAST KHOVANOV HOMOLOGY COMPUTATIONS

    https://doi.org/10.1142/S0218216507005294Cited by:88 (Source: Crossref)

    We introduce a local algorithm for Khovanov homology computations — that is, we explain how it is possible to "cancel" terms in the Khovanov complex associated with a ("local") tangle, hence canceling the many associated "global" terms in one swoosh early on. This leads to a dramatic improvement in computational efficiency. Thus our program can rapidly compute certain Khovanov homology groups that otherwise would have taken centuries to evaluate.

    To Lou Kauffman, who gave us

    AMSC: 57M25

    References