Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 2-nerves for bicategories   We describe a Cat-valued nerve of bicategories, which associates to every
bicategory a simplicial object in Cat, called the 2-nerve. We define a
2-category NHom whose objects are bicategories and whose 1-cells are normal
homomorphisms of bicategories, in such a way that the 2-nerve construction
becomes a full embedding of NHom in the 2-category of simplicial objects in
Cat. This embedding has a left biadjoint, and we characterize its image. The
2-nerve of a bicategory is always a weak 2-category in the sense of Tamsamani,
and we show that NHom is biequivalent to a certain 2-category whose objects are
Tamsamani weak 2-categories.

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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph