2012/08/29 by Junwu Tu, Tu, Junwu · 1 citation
Mathematics · #18G55 #53D37 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.1208.5912
openalex publication_date 2012/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let π: 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 M0^\chk over the Novikov field which is a deformation of the semi-flat complex structure of the dual torus fibration over the smooth locus B0 of π. Transition functions of M0^\chk are obtained via A-∞ homomorphisms which capture the wall-crossing phenomenon of moduli spaces of holomorphic disks.