Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transformation Double Categories Associated to 2-Group Actions   Transformation groupoids associated to group actions capture the interplay
between global and local symmetries of structures described in set-theoretic
terms. This paper examines the analogous situation for structures described in
category-theoretic terms, where symmetry is expressed as the action of a
2-group G (equivalently, a categorical group) on a category C. It describes the
construction of a transformation groupoid in diagrammatic terms, and considers
this construction internal to Cat, the category of categories. The result is a
double category C//G which describes the local symmetries of C. We define this
and describe some of its structure, with the adjoint action of G on itself as a
guiding example.

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The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
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The categories of this paper are: nlin
5
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: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph