Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mapping class group actions on configuration spaces and the Johnson
  filtration   Let $F_n(\Sigma_{g,1})$ denote the configuration space of $n$ ordered points
on the surface $\Sigma_{g,1}$ and let $\Gamma_{g,1}$ denote the mapping class
group of $\Sigma_{g,1}$. We prove that the action of $\Gamma_{g,1}$ on
$H_i(F_n(\Sigma_{g,1});\mathbb{Z})$ is trivial when restricted to the $i^{th}$
stage of the Johnson filtration $\mathcal{J}(i)\subset \Gamma_{g,1}$. We give
examples showing that $\mathcal{J}(2)$ acts nontrivially on
$H_3(F_3(\Sigma_{g,1}))$ for $g\ge 2$, and provide two new conceptual
reinterpretations of a certain group introduced by Moriyama.

19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol