Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: CR-Invariants and the Scattering Operator for Complex Manifolds with
  Boundary   The purpose of this paper is to describe certain CR-covariant differential
operators on a strictly pseudoconvex CR manifold $M$ as residues of the
scattering operator for the Laplacian on an ambient complex K\"{a}hler manifold
$X$ having $M$ as a `CR-infinity.' We also characterize the CR $Q$-curvature in
terms of the scattering operator. Our results parallel earlier results of
Graham and Zworski \cite{GZ:2003}, who showed that if $X$ is an asymptotically
hyperbolic manifold carrying a Poincar\'{e}-Einstein metric, the $Q$-curvature
and certain conformally covariant differential operators on the `conformal
infinity' $M$ of $X$ can be recovered from the scattering operator on $X$. The
results in this paper were announced in \cite{HPT:2006}.

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The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: eess