@article{GarmendiaZambon2021,
  author    = {Garmendia, Alfonso and Zambon, Marco},
  title     = {Quotients of singular foliations and Lie 2-group actions},
  series = {Journal of noncommutative geometry},
  volume    = {15},
  journal   = {Journal of noncommutative geometry},
  number    = {4},
  publisher = {EMS Press, an imprint of the European Mathematical Society - EMS - Publishing House GmbH, Institut f{\"u}r Mathematik, Technische Universit{\"a}t Berlin},
  address   = {Berlin},
  issn      = {1661-6952},
  doi       = {10.4171/JNCG/434},
  pages     = {1251 -- 1283},
  year      = {2021},
  abstract  = {Androulidakis-Skandalis (2009) showed that every singular foliation has an associated topological groupoid, called holonomy groupoid. In this note, we exhibit some functorial properties of this assignment: if a foliated manifold (M, FM ) is the quotient of a foliated manifold (P, FP ) along a surjective submersion with connected fibers, then the same is true for the corresponding holonomy groupoids. For quotients by a Lie group action, an analogue statement holds under suitable assumptions, yielding a Lie 2-group action on the holonomy groupoid.},
  language  = {en}
}