Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative differential calculus, homotopy BV algebras and formality
  conjectures   We define a notion of astrongly homotopy BV algebra and apply it to
deformation theory problems. Formality conjectures for Hochschild and cyclic
chains are formulated. We prove some partial results supporting these
conjectures.

35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an