Computing Khovanov-Rozansky homology and defect fusion

Details Computing Khovanov-Rozansky homology and defect fusion Computing Khovanov-Rozansky homology and defect fusion

2011-08-04

arxiv.org/abs/1108.1081v1

Mathematics

Quantum Algebra

43 pages

Scientific paper

We compute the categorified sl(N) link invariants as defined by Khovanov and Rozansky, for various links and various values of N. This direct computation is made tractable by a general and constructive method for reducing tensor products of matrix factorisations to finite rank, a process which can also be interpreted as the fusion of defects in B-twisted Landau-Ginzburg models. We implement this method on the computer and show how to use it in practice.

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