2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154212We 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.Geometric TopologyQuantum Algebratext