Filtern
Volltext vorhanden
- nein (1)
Erscheinungsjahr
- 2021 (1) (entfernen)
Dokumenttyp
Sprache
- Englisch (1) (entfernen)
Gehört zur Bibliographie
- ja (1)
Schlagworte
- singular foliation (1) (entfernen)
Institut
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.