Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the deformations of almost complex structures on compact
  four-manifolds   In this paper, we calculate the dimension of the $J$-anti-invariant
cohomology subgroup $H_J^-$ on $\mathbb{T}^4$. Inspired by the concrete
example, $\mathbb{T}^4$, we get that:
  On a closed symplectic $4$-dimensional manifold $(M, \omega)$, $h^-_J=0$ for
generic $\omega$-compatible almost complex structures.

34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph