Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isolations of geodesic planes in the frame bundle of a hyperbolic
  $3$-manifold   We present a quantitative isolation property of the lifts of properly
immersed geodesic planes in the frame bundle of a geometrically finite
hyperbolic $3$-manifold. Our estimates are polynomials in the tight areas and
Bowen-Margulis-Sullivan densities of geodesic planes, with degree given by the
modified critical exponents.

8
The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph