Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The genus and the category of configuration spaces   In this paper configuration spaces of smooth manifolds are considered. The
accent is made on actions of certain groups (mostly $p$-tori) on this spaces by
permuting their points. For such spaces the cohomological index, the genus in
the sense of Krasnosel'skii-Schwarz, and the equivariant
Lyusternik-Schnirelmann category are estimated from below, and some corollaries
for functions on configuration spaces are deduced.

15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn