A computation in Khovanov–Rozansky homology
Volume 203 / 2009
Fundamenta Mathematicae 203 (2009), 75-95
MSC: Primary 57M25.
DOI: 10.4064/fm203-1-7
Abstract
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.
