Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dominating surface group representations by Fuchsian ones   We prove that a representation from the fundamental group of a closed surface
of negative Euler characteristic with values in the isometry group of a
Riemannian manifold of sectional curvature bounded by -1 can be dominated by a
Fuchsian representation. Moreover, we prove that the domination can be made
strict, unless the representation is discrete and faithful in restriction to an
invariant totally geodesic 2-plane of curvature -1. When applied to
representations into PSL(2,R) of non-extremal Euler class, our result is a step
forward in understanding the space of closed anti-de Sitter 3-manifolds.

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The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph