@article{BeniniSchenkelSchreiber2018,
  author    = {Benini, Marco and Schenkel, Alexander and Schreiber, Urs},
  title     = {The Stack of Yang-Mills Fields on Lorentzian Manifolds},
  series = {Communications in mathematical physics},
  volume    = {359},
  journal   = {Communications in mathematical physics},
  number    = {2},
  publisher = {Springer},
  address   = {New York},
  issn      = {0010-3616},
  doi       = {10.1007/s00220-018-3120-1},
  pages     = {765 -- 820},
  year      = {2018},
  abstract  = {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 Hollander (Isr. 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 BG (con).},
  language  = {en}
}