On the reconstruction problem in mirror symmetry
Symplectic Geometry
2014-01-31 v2 Algebraic Geometry
Abstract
Let \pi: M \ra B be a Lagrangian torus fibration with singularities such that the fibers are of Maslov index zero, and unobstructed. The paper constructs a rigid analytic space M_0^\chk over the Novikov field which is a deformation of the semi-flat complex structure of the dual torus fibration over the smooth locus B_0 of \pi. Transition functions of M_0^\chk are obtained via A-\infty homomorphisms which capture the wall-crossing phenomenon of moduli spaces of holomorphic disks.
Cite
@article{arxiv.1208.5912,
title = {On the reconstruction problem in mirror symmetry},
author = {Junwu Tu},
journal= {arXiv preprint arXiv:1208.5912},
year = {2014}
}
Comments
Final version, minor changes. To appear in Advances in Mathematics