Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High Energy Resolvent Estimates on Conformally Compact Manifolds with
  Variable Curvature at Infinity   We construct a semiclassical parametrix for the resolvent of the Laplacian
acing on functions on non-trapping conformally compact manifolds with variable
sectional curvature at infinity, we use it to prove high energy resolvent
estimates and to show existence of resonance free strips of arbitrary height
away from the imaginary axis. We then use the results of Datchev and Vasy on
gluing semiclassical resolvent estimates to extend these results to conformally
compact manifolds with normal hyperbolic trapping.

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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: dg-ga