Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pushing down the Rumin complex to conformally symplectic quotients   Given a contact manifold $M_#$ together with a transversal infinitesimal
automorphism $\xi$, we show that any local leaf space $M$ for the foliation
determined by $\xi$ naturally carries a conformally symplectic (cs-) structure.
Then we show that the Rumin complex on $M_#$ descends to a complex of
differential operators on $M$, whose cohomology can be computed. Applying this
construction locally, one obtains a complex intrinsically associated to any
manifold endowed with a cs-structure, which recovers the generalization of the
so-called Rumin-Seshadri complex to the conformally symplectic setting. The
cohomology of this more general complex can be computed using the push-down
construction.

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The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: econ
24
The categories of this paper are: dg-ga