Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the reconstruction problem in mirror symmetry   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.

16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci