Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The simplicial interpretation of bigroupoid 2-torsors   Actions of bicategories arise as categorification of actions of categories.
They appear in a variety of different contexts in mathematics, from Moerdijk's
classification of regular Lie groupoids in foliation theory, to Waldmann's work
on deformation quantization. For any such action we introduce an action
bicategory, together with a canonical projection (strict) 2-functor to the
bicategory which acts. When the bicategory is a bigroupoid, we can impose the
additional condition that action is principal in bicategorical sense, giving
rise to a bigroupoid 2-torsor. In that case, the Duskin nerve of the canonical
projection is precisely the Duskin-Glenn simplicial 2-torsor.

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The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: adap-org