#### Volume 14, issue 1 (2014)

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Computing Khovanov–Rozansky homology and defect fusion

### Nils Carqueville and Daniel Murfet

Algebraic & Geometric Topology 14 (2014) 489–537
##### Abstract

We compute the categorified $\mathfrak{s}\mathfrak{l}\left(N\right)$ 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.

##### Keywords
adjunctions in bicategories, topological quantum field theories, matrix factorizations
Primary: 18D05
Secondary: 57R56