Mirror symmetry and deformation quantization

Details Mirror symmetry and deformation quantization Mirror symmetry and deformation quantization

2002-02-20

arxiv.org/abs/hep-th/0202128v3

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

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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