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arXiv · hep-th/0202128

Mirror symmetry and deformation quantization

Paul Bressler·Yan Soibelman
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Abstract

The paper is devoted to the comparison of the Fukaya category (it is responcible for the A-side of mirror symmetry) with the category of holonomic modules over the quantized algebra of functions on the same symplectic manifold. We conjecture that these categories become $A_{\infty}$-equivalent after a twist by a kind of integral transformation.

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Paul Bressler, Yan Soibelman. 2002-04-19. Mirror symmetry and deformation quantization. https://arxiv.org/abs/hep-th/0202128

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