Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: About the Hochschild-Kostant-Rosenberg theorem for differentiable
  manifolds   In this notes it will be provided a set of techniques which can help one to
understand the proof of the Hochschild-Kostant-Rosenberg theorem for
differentiable manifolds. Precise definitions of multidiferential operators and
polyderivations on an algebra are given, allowing to work on these concepts,
when the algebra is an algebra of functions on a differentiable manifold, in a
coordinate free description. Also, it will be constructed a cup product on
polyderivations which corresponds on (Hochschild) cohomology to wedge product
on multivector fields. At the end, a proof of the above mentioned theorem will
be given.

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The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
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The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ