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arXiv · 1402.4541

The cut operation on matrix factorisations

Daniel Murfet
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Abstract

The bicategory $\mathcal{LG}$ 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 $\mathcal{LG}$ 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 $\mathcal{LG}$.

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Daniel Murfet. 2014-02-19. The cut operation on matrix factorisations. https://arxiv.org/abs/1402.4541

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