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arXiv · 1208.5912

On the reconstruction problem in mirror symmetry

Junwu Tu
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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.

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Junwu Tu. 2012-08-29. On the reconstruction problem in mirror symmetry. https://arxiv.org/abs/1208.5912

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