Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mapping class group dynamics and the holonomy of branched affine
  structures   We classify, up to few exceptions, the orbit closures of the
$\mathrm{Mod}(\Sigma)$-action on the affine character variety
$\chi(\mathrm{Aff}(\mathbb{C}))$. We obtain from this classification that the
only obstruction for a non-abelian representation $\rho : \pi_1 \Sigma
\longrightarrow \mathrm{Aff}(\mathbb{C})$ to be the holonomy of a branched
affine structure on $\Sigma$ is to be Euclidean and not to have positive
volume, where $\Sigma$ is a closed oriented surface of genus $g \geq 2$.

8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys