Papers › The cut operation on matrix factorisations
The cut operation on matrix factorisations
Daniel Murfet
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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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