Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The cohomology ring away from 2 of configuration spaces on real
  projective spaces   Let R be a commutative ring containing 1/2. We compute the R-cohomology ring
of the configuration space F(m,k) of k ordered points in the m-dimensional real
projective space. The method uses the observation that the orbit configuration
space of k ordered points in the m-dimensional sphere (with respect to the
antipodal action) is a 2^k-fold covering of F(m,k). This implies that, for odd
m, the Leray spectral sequence for the inclusion of F(m,k) in the k-fold
Cartesian self power of the m-dimensional real projective space collapses after
its first non-trivial differential, just as it does when the projective space
is replaced by a complex projective variety. The method also allows us to
handle the R-cohomology ring of the configuration space of k ordered points in
a punctured real projective space. Lastly, we compute the
Lusternik-Schnirelmann category and all of the higher topological complexities
of some of the auxiliary orbit configuration spaces.

19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph