Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cores of Symplectic Double Groupoids via Reduction   We use symplectic reduction to give a new construction of the core $C$ of a
symplectic double groupoid $D$ as the common leaf space of characteristic
foliations associated to various coisotropic submanifolds of $D$. In the case
of the cotangent double groupoid of a Lie groupoid $G$, the canonical relations
arising from this process turn out to be cotangent lifts of structure maps
associated to $G$. We also show that under this reduction procedure the double
groupoid structure on $D$ descends to a groupoid structure on the leaf space
above, recovering the core groupoid structure on $C$ of Brown and Mackenzie.

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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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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: cs
33
The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc