Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformation quantization using groupoids. Case of toric manifolds   In the framework of C*-algebraic deformation quantization we propose a notion
of deformation groupoid which could apply to known examples e.g. Connes'
tangent groupoid of a manifold, its generalisation by Landsman and Ramazan,
Rieffel's noncommutative torus, and even Landi's noncommutative 4-sphere. We
construct such groupoid for a wide class of T^n-spaces, that generalizes the
one given for C^n by Bellissard and Vittot. In particular, using the geometric
properties of the moment map discovered in the '80s by Atiyah, Delzant,
Guillemin and Sternberg, it provides a \cstar-algebraic deformation
quantization for all toric manifolds, including the 2-sphere and all complex
projective spaces.

29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas