A computation in Khovanov–Rozansky homology

Volume 203 / 2009

Daniel Krasner Fundamenta Mathematicae 203 (2009), 75-95 MSC: Primary 57M25. DOI: 10.4064/fm203-1-7


We investigate the Khovanov–Rozansky invariant of a certain tangle and its compositions. Surprisingly the complexes we encounter reduce to ones that are very simple. Furthermore, we discuss a “local” algorithm for computing Khovanov–Rozansky homology and compare our results with those for the “foam” version of $sl_3$-homology.


  • Daniel KrasnerDepartment of Mathematics
    Columbia University
    2990 Broadway
    New York, NY 10027, U.S.A.

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