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Fast Khovanov Homology Computations

Dror Bar-Natan
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Abstract

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.

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BibTeXRIS

Dror Bar-Natan. 2006-06-13. Fast Khovanov Homology Computations. https://arxiv.org/abs/math/0606318

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