Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toric varieties of Loday's associahedra and noncommutative cohomological
  field theories   We introduce and study several new topological operads that should be
regarded as nonsymmetric analogues of the operads of little 2-disks, framed
little 2-disks, and Deligne-Mumford compactifications of moduli spaces of genus
zero curves with marked points. These operads exhibit all the remarkable
algebraic and geometric features that their classical analogues possess; in
particular, it is possible to define a noncommutative analogue of the notion of
cohomological field theory with similar Givental-type symmetries. This relies
on rich geometry of the analogues of the Deligne-Mumford spaces, coming from
the fact that they admit several equivalent interpretations: as the toric
varieties of Loday's realisations of the associahedra, as the brick manifolds
recently defined by Escobar, and as the De Concini-Procesi wonderful models for
certain subspace arrangements.

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The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
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The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat