# Mirror symmetry and noncommutative geometry of A∞-categories

@inproceedings{Soibelman2004MirrorSA, title={Mirror symmetry and noncommutative geometry of A∞-categories}, author={Yan S. Soibelman}, year={2004} }

Homological mirror symmetry aims to explain the phenomenon of mirror symmetry in the language of A∞-categories and their deformation theory. In these notes I discuss various aspects of this approach from the point of view of noncommutative algebraic geometry in the tensor category of graded vector spaces.

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## 2 9 Ju n 20 07 On a Teichmüller functor between the categories of complex and noncommutative tori

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## Remark on the rank of elliptic curves

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## CONFORMAL FIELD THEORIES AND CALABI-YAU CATEGORIES

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