Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomology theories on locally conformal symplectic manifolds   In this note we introduce primitive cohomology groups of locally conformal
symplectic manifolds $(M^{2n}, \omega, \theta)$. We study the relation between
the primitive cohomology groups and the Lichnerowicz-Novikov cohomology groups
of $(M^{2n}, \omega, \theta)$, using and extending the technique of spectral
sequences developed by Di Pietro and Vinogradov for symplectic manifolds. We
discuss related results by many peoples, e.g. Bouche, Lychagin, Rumin,
Tseng-Yau, in light of our spectral sequences. We calculate the primitive
cohomology groups of a $(2n+2)$-dimensional locally conformal symplectic
nilmanifold as well as those of a l.c.s. solvmanifold. We show that the l.c.s.
solvmanifold is a mapping torus of a contactomorphism, which is not isotopic to
the identity.

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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci