Constructing $A_{\infty }$-categories of matrix factorisations

Abstract

We study constructive $A_{\infty }$-models of the DG-category of matrix factorisations of a potential over a commutative $\mathbb{Q}$-algebra $k$, consisting of a Hom-finite $A_{\infty }$-category equipped with an $A_{\infty }$-idempotent functor.

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• Calabi-Yau structures on categories of matrix factorizations
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