Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Berezin-Toeplitz Quantization in Real Polarizations with Toric
  Singularities   On a compact K\"ahler manifold $X$, Toeplitz operators determine a
deformation quantization $(\operatorname{C}^\infty(X, \mathbb{C})[[\hbar]],
\star)$ with separation of variables [10] with respect to transversal complex
polarizations $T^{1, 0}X, T^{0, 1}X$ as $\hbar \to 0^+$ [15]. The analogous
statement is proved for compact symplectic manifolds with transversal
non-singular real polarizations [13].
  In this paper, we establish the analogous result for transversal singular
real polarizations on compact toric symplectic manifolds $X$. Due to toric
singularities, half-form correction and localization of our Toeplitz operators
are essential. Via norm estimations, we show that these Toeplitz operators
determine a star product on $X$ as $\hbar \to 0^+$.

23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol