Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the localization theorem in equivariant cohomology   We present a simple proof of a precise version of the localization theorem in
equivariant cohomology. As an application, we describe the cohomology algebra
of any compact symplectic variety with a multiplicity-free action of a compact
Lie group. This applies in particular to smooth, projective spherical
varieties.

3
The categories of this paper are: physics
1
The categories of this paper are: cs
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom