Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differential cohomology theories as sheaves of spectra   We show that every sheaf on the site of smooth manifolds with values in a
stable (infinity,1)-category (like spectra or chain complexes) gives rise to a
differential cohomology diagram and a homotopy formula, which are common
features of all classical examples of differential cohomology theories. These
structures are naturally derived from a canonical decomposition of a sheaf into
a homotopy invariant part and a piece which has a trivial evaluation on a
point. In the classical examples the latter is the contribution of differential
forms. This decomposition suggest a natural scheme to analyse new sheaves by
determining these pieces and the gluing data. We perform this analysis for a
variety of classical and not so classical examples.

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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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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: bayes-an
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The categories of this paper are: supr-con
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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: q-fin
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The categories of this paper are: hep-ph