Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bending Fuchsian representations of fundamental groups of cusped
  surfaces in PU(2,1)   We describe a family of representations of $\pi_1(\Sigma)$ in PU(2,1), where
$\Sigma$ is a hyperbolic Riemann surface with at least one deleted point. This
family is obtained by a bending process associated to an ideal triangulation of
$\Sigma$. We give an explicit description of this family by describing a
coordinates system in the spirit of shear coordinates on the Teichm\"uller
space. We identify within this family new examples of discrete, faithful and
type-preserving representations of $\pi_1(\Sigma)$. In turn, we obtain a
1-parameter family of embeddings of the Teichm\"uller space of $\Sigma$ in the
PU(2,1)-representation variety of $\pi_1(\Sigma)$. These results generalise to
arbitrary $\Sigma$ the results obtained in a previous paper for the 1-punctured
torus.

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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph