Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the cohomology and their torsion of real toric objects   In this paper, we do the two things.
  1. We present a formula to compute the rational cohomology ring of a real
topological toric manifold, and thus that of a small cover or a real toric
manifold, which implies the formula of Suciu and Trevisan. Furthermore, the
formula also works for other coefficient $\mathbb{Z}_q =
\mathbb{Z}/q\mathbb{Z}$, where $q$ is a positive odd integer.
  2. We construct infinitely many real toric manifolds and small covers whose
integral cohomology have a $q$-torsion for any positive odd integer $q$.

17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg