Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization and homological stability of configuration spaces   In [Chu12], Church used representation stability to prove that the space of
configurations of distinct unordered points in a closed manifold exhibit
rational homological stability. A second proof was also given by
Randal-Williams in [RW11] using transfer maps. We give a third proof of this
fact using localization and rational homotopy theory. This gives new insight
into the role that the rationals play in homological stability. Our methods
also yield new information about stability for torsion in the homology of
configuration spaces of points in a closed manifold.

36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn