Computing Khovanov-Rozansky homology and defect fusion

Abstract

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 factorisations to finite rank, which we implement in the computer algebra package Singular.

35 pages; v2: exposition shortened and reorganised; v3: typos in Section 4 corrected

References in corpus (2)

• B-type defects in Landau-Ginzburg models
• Rigidity and defect actions in Landau-Ginzburg models

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