FAST KHOVANOV HOMOLOGY COMPUTATIONS

Author:

BAR-NATAN DROR1

Affiliation:

1. Department of Mathematics, University of Toronto, Toronto Ontario M5S 2E4, Canada

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

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