Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differential Cocycles and Dixmier-Douady Bundles   This paper exhibits equivalences of 2-stacks between certain models of
$\mathbb{S}^1$-gerbes and differential 3-cocycles. We focus primarily on the
model of Dixmier-Douady bundles, and provide an equivalence between the 2-stack
of Dixmier-Douady bundles and the 2-stack of differential 3-cocycles of height
1, where the 'height' is related to the presence of connective structure.
Differential 3-cocycles of height 2 (resp. height 3) are shown to be equivalent
to $\mathbb{S}^1$-bundle gerbes with connection (resp. with connection and
curving). These equivalences extend to the equivariant setting of
$\mathbb{S}^1$-gerbes over Lie groupoids.

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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: econ
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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: dg-ga
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The categories of this paper are: chem-ph