Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Deformation Formula, Formality and Actions   In this paper we provide a quantization via formality of Poisson actions of a
triangular Lie algebra $(\mathfrak g,r)$ on a smooth manifold $M$. Using the
formality of polydifferential operators on Lie algebroids we obtain a
deformation quantization of $M$ together with a quantum group
$\mathscr{U}_\hbar(\mathfrak{g})$ and a map of associated DGLA's. This
motivates a definition of quantum action in terms of $L_\infty$-morphisms which
generalizes the one given by Drinfeld.

29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org