Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative geometry and compactifications of the moduli space of
  curves   In this paper we show that the homology of a certain natural compactification
of the moduli space, introduced by Kontsevich in his study of Witten's
conjectures, can be described completely algebraically as the homology of a
certain differential graded Lie algebra. This two-parameter family is
constructed by using a Lie cobracket on the space of noncommutative 0-forms, a
structure which corresponds to pinching simple closed curves on a Riemann
surface, to deform the noncommutative symplectic geometry described by
Kontsevich in his subsequent papers.

21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas