Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A combinatorial approach to coefficients in deformation quantization   Graph cocycles for star-products are investigated from the combinatorial
point of view, using Connes-Kreimer renormalization techniques.
  The Hochschild complex, controlling the deformation theory of associative
algebras, is the ``Kontsevich representation'' of a DGLA of graphs coming from
a pre-Lie algebra structure defined by graph insertions.
  Properties of the dual of its UEA (an odd parity analog of Connes-Kreimer
Hopf algebra), are investigated in order to find solutions of the deformation
equation. The solution of the initial value deformation problem, at tree-level,
is unique. For linear coefficients the resulting formulas are relevant to the
Hausdorff series.

29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg