Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric quantization via SYZ transforms   The so-called quantization problem in geometric quantization is asking
whether the space of wave functions is independent of the choice of
polarization. In this paper, we apply SYZ transforms to solve the quantization
problem in two cases: (1) semi-flat Lagrangian torus fibrations over complete
compact integral affine manifolds, and (2) projective toric manifolds. More
precisely, we prove that the space of wave functions associated to the real
polarization is canonically isomorphic to that associated to a complex
polarization via SYZ transforms in both cases.

21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg