Computing Khovanov–Rozansky homology and defect fusion

Nils Carqueville, Daniel Murfet · Algebraic & Geometric Topology · 2014

We compute the categorified sl.N / link invariants as defined by Khovanov and Rozansky, for various links and values of N .This is made tractable by an algorithm for reducing tensor products of matrix factorizations to finite rank, which we implement in the computer algebra package Singular.

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