Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Separating subgroups of mapping class groups in homological
  representations   Let $\Gamma$ be either the mapping class group of a closed surface of genus
$\geq 2$, or the automorphism group of a free group of rank $\geq 3$. Given any
homological representation $\rho$ of $\Gamma$ corresponding to a finite cover,
and any term $\mathcal{I}_k$ of the Johnson filtration, we show that
$\rho(\mathcal{I}_k)$ has finite index in $\rho(\mathcal{I})$, the Torelli
subgroup of $\Gamma$. Since $[\mathcal{I}: \mathcal{I}_k] = \infty$ for $k >
1$, this implies for instance that no such representation is faithful.

27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn