Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Hannay-Berry Connections on Foliated Manifolds and
  Applications   In this paper, we discuss some aspects of the averaging method for Poisson
connections on foliated manifolds with symmetry generalizing the previous
results on the Hannay-Berry connections on fibrations due to
\cite{Mn-88,MaMoRa-90} which play an important role in the normal form theory
for Hamiltonian systems of adiabatic type.

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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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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: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs