The cut operation on matrix factorisations

2014/02/19 by Daniel Murfet, Murfet, Daniel
Mathematics · #Category Theory (math.CT) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CT

paper · pdf · doi:10.48550/arxiv.1402.4541

Third version, minor corrections

arxiv created 2017/07/24 · arxiv updated 2017/07/25

Abstract

The bicategory LG of Landau-Ginzburg models has polynomials as objects and matrix factorisations as 1-morphisms. The composition of these 1-morphisms produces infinite rank matrix factorisations, which is a nuisance. In this paper we define a bicategory which is equivalent to LG in which composition of 1-morphisms produces finite rank matrix factorisations equipped with the action of a Clifford algebra. This amounts to a finite model of composition in LG.

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