Fukaya category and Fourier transform
Algebraic Geometry
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.math/9811023,
title = {Fukaya category and Fourier transform},
author = {Dmitry Arinkin and Alexander Polishchuk},
journal= {arXiv preprint arXiv:math/9811023},
year = {2007}
}
Comments
14 pages, AMSLatex, minor corrections