last updated May. 20, 2007

first edition: Jun. 13, 2006.

*To Lou Kauffman, who gave us
.
*

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.

**The paper. ** FastKh.pdf, FastKh.ps.gz, FastKh.tar.gz, arXiv:math.GT/0606318, Journal
of Knot Theory and Its Ramifications, **16-3** (2007) 243-255.

**Related handouts. ** LocalKh.pdf, ComputationsAndMutations.pdf.

Also see my earlier paper on the subject, "Khovanov's Homology for Tangles and Cobordisms".