## Algebraic & Geometric Topology

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

#### Article information

Source
Algebr. Geom. Topol., Volume 14, Number 1 (2014), 489-537.

Dates
Revised: 1 June 2013
Accepted: 3 June 2013
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715809

Digital Object Identifier
doi:10.2140/agt.2014.14.489

Mathematical Reviews number (MathSciNet)
MR3183384

Zentralblatt MATH identifier
1326.57024

#### Citation

Carqueville, Nils; Murfet, Daniel. Computing Khovanov–Rozansky homology and defect fusion. Algebr. Geom. Topol. 14 (2014), no. 1, 489--537. doi:10.2140/agt.2014.14.489. https://projecteuclid.org/euclid.agt/1513715809

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