Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie II theorem for Lie algebroids via higher groupoids   Following Sullivan's spacial realization of a differential algebra, we
construct a universal integrating Lie 2-groupoid for every Lie algebroid. Then
We show that unlike Lie algebras which one-to-one correspond to simply
connected Lie groups, Lie algebroids (integrable or not) one-to-one correspond
to a sort of etale Lie 2-groupoids with 2-connected source fibres. Finally, we
discuss how to lift Lie algebroid morphisms to Lie 2-groupoid morphisms (Lie II
Theorem).

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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol