Mirror symmetry and self-dual manifolds
Differential Geometry
2007-05-23 v1
Abstract
We introduce self-dual manifolds and show that they can be used to encode mirror symmetry for affine-K\"{a}hler manifolds and for elliptic curves. Their geometric properties, especially the link with special lagrangian fibrations and the existence of a transformation similar to the Fourier-Mukai functor, suggest that this approach may be able to explain mirror symmetry also in other situations
Cite
@article{arxiv.math/0202016,
title = {Mirror symmetry and self-dual manifolds},
author = {Michele Grassi},
journal= {arXiv preprint arXiv:math/0202016},
year = {2007}
}
Comments
22 pages