Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superinjective Simplicial Maps of the Complexes of Curves on
  Nonorientable Surfaces   We prove that each superinjective simplicial map of the complex of curves of
a compact, connected, nonorientable surface is induced by a homeomorphism of
the surface, if $(g, n) \in \{(1, 0), (1, 1), (2, 0), (2, 1), (3, 0)\}$ or $g +
n \geq 5$, where $g$ is the genus of the surface and $n$ is the number of the
boundary components.

20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio