Computing Khovanov-Rozansky homology and defect fusion
Quantum Algebra
2014-10-01 v3 High Energy Physics - Theory
Geometric Topology
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.
Keywords
Cite
@article{arxiv.1108.1081,
title = {Computing Khovanov-Rozansky homology and defect fusion},
author = {Nils Carqueville and Daniel Murfet},
journal= {arXiv preprint arXiv:1108.1081},
year = {2014}
}
Comments
35 pages; v2: exposition shortened and reorganised; v3: typos in Section 4 corrected