Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surface group representations in ${\rm SL}_2({\mathbb C})$ with finite
  mapping class orbits   Given an oriented surface of positive genus with finitely many punctures, we
classify the finite orbits of the mapping class group action on the moduli
space of semisimple complex special linear two dimensional representations of
the fundamental group of the surface. For surfaces of genus at least two, such
orbits correspond to homomorphisms with finite image. For genus one, they
correspond to the finite or special dihedral representations. We also obtain an
analogous result for bounded orbits in the moduli space.

1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg