Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Associative algebras, punctured disks and the quantization of Poisson
  manifolds   The aim of the note is to provide an introduction to the algebraic, geometric
and quantum field theoretic ideas that lie behind the
Kontsevich-Cattaneo-Felder formula for the quantization of Poisson structures.
We show how the quantization formula itself naturally arises when one imposes
the following two requirements to a Feynman integral: on the one side it has to
reproduce the given Poisson structure as the first order term of its
perturbative expansion; on the other side its three-point functions should
describe an associative algebra. It is further shown how the Magri-Koszul
brackets on 1-forms naturally fits into the theory of the Poisson sigma-model.

26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex