Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Livsic theorem for low-dimensional diffeomorphism cocycles   We prove a Livsic type theorem for cocycles taking values in groups of
diffeomorphisms of low-dimensional manifolds. The results hold without any
localization assumption and in very low regularity. We also obtain a general
result (in any dimension) which gives necessary and sufficient conditions to be
a coboundary.

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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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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: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con