Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential growth in the rational homology of free loop spaces and in
  torsion homotopy groups   Using integral methods we recover and generalize some results by F\'{e}lix,
Halperin and Thomas on the growth of the rational homology groups of free loop
spaces, and obtain a new family of spaces whose $p$-torsion in homotopy groups
grows exponentially and satisfies Moore's Conjecture for all but finitely many
primes. In view of the results, we conjecture that there should be a strong
connection between exponential growth in the rational homotopy groups and the
$p$-torsion homotopy groups for any prime $p$.

11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph