Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local formulas for multiplicative forms   We provide explicit formulas for integrating multiplicative forms on local
Lie groupoids in terms of infinitesimal data. Combined with our previous work
[8], which constructs the local Lie groupoid of a Lie algebroid, these formulas
produce concrete integrations of several geometric stuctures defined
infinitesimally. In particular, we obtain local integrations and non-degenerate
realizations of Poisson, Nijenhuis-Poisson, Dirac, and Jacobi structures by
local symplectic, symplectic-Nijenhuis, presymplectic, and contact groupoids,
respectively.

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The categories of this paper are: comp-gas
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The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex