Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On local equivalence of star-products on Poisson manifolds   We present a proof that every star-product defined on a Poisson manifold and
written in a given quantum canonical coordinate system is uniquely equivalent
with a Moyal product associated with this coordinate system. The equivalence is
assumed to satisfy some additional conditions which guarantee its uniqueness.
Moreover, the systematic construction of such equivalence is presented and a
formula for this equivalence in a case of a particular class of star-products
is given, to the fourth order in $\hbar$.

0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas