Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new approach to twisted homological stability, with applications to
  congruence subgroups   We introduce a new method for proving twisted homological stability, and use
it to prove such results for symmetric groups and general linear groups. In
addition to sometimes slightly improving the stable range given by the
traditional method (due to Dwyer), it is easier to adapt to nonstandard
situations. As an illustration of this, we generalize to $GL_n$ of many rings
$R$ a theorem of Borel which says that passing from $GL_n$ of a number ring to
a finite-index subgroup does not change the rational cohomology. Charney proved
this generalization for trivial coefficients, and we extend it to twisted
coefficients.

25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio