Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: All about the Grothendieck construction   We provide, among other things: (i) a Bousfield--Kan formula for colimits in
$\infty$-categories (generalizing the 1-categorical formula for a colimit as a
coequalizer of maps between coproducts); (ii) $\infty$-categorical
generalizations of Barwick--Kan's Theorem B$_n$ and Dwyer--Kan--Smith's Theorem
C$_n$ (regarding homotopy pullbacks in the Thomason model structure, which
themselves vastly generalize Quillen's Theorem B); and (iii) an articulation of
the simultaneous and interwoven functoriality of colimits (or dually, of
limits) for natural transformations and for pullback along maps of diagram
$\infty$-categories.

8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio