Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A splitting result for the free loop space of spheres and projective
  spaces   Let X be a 1-connected compact space such that the algebra H*(X;Z/2) is
generated by one single element. We compute the cohomology of the free loop
space H*(LX;Z/2) including the Steenrod algebra action. When X is a projective
space CP^n, HP^n, the Cayley projective plane CaP^2 or a sphere S^m we obtain a
splitting result for integral and mod two cohomology of the suspension spectrum
of LX_+. The splitting is in terms of the suspension spectrum of X_+ and the
Thom spaces of the q-fold Whitney sums of the tangent bundle over X for non
negative integers q.

8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ