2006/06/13 by Dror Bar-Natan, Bar-Natan, Dror · 6 citations
Mathematics · #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M25
paper · pdf · doi:10.48550/arxiv.math/0606318
12 pages, many figures. Dedicated to Lou Kauffman on his 60th birthday
arxiv created 2006/06/13 · arxiv updated 2009/12/01
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.