Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of the vanishing of the $\overline\partial_b$-cohomology under
  small horizontal perturbations of the CR structure in compact abstract
  q-concave CR manifolds   We consider perturbations of CR structures which preserve the complex tangent
bundle. For a compact generic CR manifold its concavity properties and hence
the finiteness of some $\overline\partial_b$-cohomology groups are also
preserved by such perturbations of the CR structure. Here we study the
stability of the vanishing of these groups.

9
The categories of this paper are: nlin
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th