Fukaya category and Fourier transform

Details Fukaya category and Fourier transform Fukaya category and Fourier transform

1998-11-04

arxiv.org/abs/math/9811023v2

Mathematics

Algebraic Geometry

14 pages, AMSLatex, minor corrections

Scientific paper

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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