Mirror symmetry and deformation quantization
High Energy Physics - Theory
2007-05-23 v3 Differential Geometry
Quantum Algebra
Symplectic Geometry
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 -equivalent after a twist by a kind of integral transformation.
Keywords
Cite
@article{arxiv.hep-th/0202128,
title = {Mirror symmetry and deformation quantization},
author = {Paul Bressler and Yan Soibelman},
journal= {arXiv preprint arXiv:hep-th/0202128},
year = {2007}
}