Volume 14, issue 1 (2014)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
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