Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 14, Number 1 (2014), 489-537.
Computing Khovanov–Rozansky homology and defect fusion
We compute the categorified link invariants as defined by Khovanov and Rozansky, for various links and values of . 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.
Algebr. Geom. Topol., Volume 14, Number 1 (2014), 489-537.
Received: 11 December 2011
Revised: 1 June 2013
Accepted: 3 June 2013
First available in Project Euclid: 19 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 18D05: Double categories, 2-categories, bicategories and generalizations
Secondary: 57R56: Topological quantum field theories
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