Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A symmetric version of Kontsevich graph complex and Leibniz homology   Kontsevich has proven that the Lie homology of the Lie algebra of symplectic
vector fields can be computed in terms of the homology of a graph complex. We
prove that the Leibniz homology of this Lie algebra can be computed in terms of
the homology of a variant of the graph complex endowed with an action of the
symmetric groups. The resulting isomorphism is shown to be a
Zinbiel-associative bialgebra isomorphism.

6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph