Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the equivarant de-Rham cohomology for non-compact Lie groups   Let $G$ be a connected and non-necessarily compact Lie group acting on a
connected manifold $M$. In this short note we announce the following result:
for a $G$-invariant closed differential form on $M$, the existence of a closed
equivariant extension in the Cartan model for equivariant cohomology is
equivalent to the existence of an extension in the homotopy quotient.

31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio