Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The stack of Yang-Mills fields on Lorentzian manifolds   We provide an abstract definition and an explicit construction of the stack
of non-Abelian Yang-Mills fields on globally hyperbolic Lorentzian manifolds.
We also formulate a stacky version of the Yang-Mills Cauchy problem and show
that its well-posedness is equivalent to a whole family of parametrized PDE
problems. Our work is based on the homotopy theoretical approach to stacks
proposed in [S. Hollander, Israel J. Math. 163, 93-124 (2008)], which we shall
extend by further constructions that are relevant for our purposes. In
particular, we will clarify the concretification of mapping stacks to
classifying stacks such as $\mathrm{B}G_\mathrm{con}$.

11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci