Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lichnerowicz-Jacobi cohomology and homology of Jacobi manifolds: modular
  class and duality   Lichnerowicz-Jacobi cohomology and homology of Jacobi manifolds are reviewed.
We present both in a unified approach using the representation of the Lie
algebra of functions on itself by means of the hamiltonian vector fields. The
use of the associated Lie algebroid allows to prove that the
Lichnerowicz-Jacobi cohomology and homology are invariant under conformal
changes of the Jacobi structure and to stablish the duality between
Lichnerowicz-Jacobi cohomology and homology when the modular class vanishes. We
also compute the Lichnerowicz-Jacobi cohomology and homology for a large
variety of examples.

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The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas