Fukaya Category and Fourier Transform

  title={Fukaya Category and Fourier Transform},
  author={Alexander Polishchuk},
We construct a version of Fourier transform for families of real tori. This transform defines a functor from certain category associated with a symplectic family of tori to the category of holomorphic vector bundles on the dual family (the dual family has a natural complex structure). In the 1-dimensional case, the former category is closely related to the Fukaya category. 
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