Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantization of symplectic tori in a real polarization   We apply the geometric quantization method with real polarizations to the
quantization of a symplectic torus. By quantizing with half-densities we
canonically associate to the symplectic torus a projective Hilbert space and
prove that the projective factor is expressible in terms of the
Maslov-Kashiwara index. As in the quantization of a linear symplectic space, we
have two ways of resolving the projective ambiguity: (i) by introducing a
metaplectic structure and using half-forms in the definition of the Hilbert
space; (ii) by choosing a 4-fold cover of the Lagrangian Grassmannian of the
linear symplectic space covering the torus. We show that the Hilbert space
constructed through either of these approaches realizes a unitary
representation of the integer metaplectic group.

31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys