Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomology of coinvariant differential forms   Let $M$ be a smooth manifold and $\Gamma$ a group acting on $M$ by
diffeomorphisms; which means that there is a group morphism
$\rho:\Gamma\rightarrow \mathrm{Diff}(M)$ from $\Gamma$ to the group of
diffeomorphisms of $M$. For any such action we associate a cohomology
$\mathrm{H}(\Omega(M)_\Gamma)$ which we call the cohomology of
$\Gamma$-coinvariant forms. This is the cohomology of the graded vector space
generated by the differentiable forms $\omega -\rho(\gamma)^*\omega$ where
$\omega$ is a differential form with compact support and $\gamma\in \Gamma$.
The present paper is an introduction to the study of this cohomology. More
precisely, we study the relations between this cohomology, the de Rham
cohomology and the cohomology of invariant forms $\mathrm{H}(\Omega(M)^\Gamma)$
in the case of isometric actions on compact Riemannian oriented manifolds and
in the case of properly discontinuous actions on manifolds.

28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat