Integration of Singular Subalgebroids by diffeological groupoids

Citation:

Androulidakis I, Zambon M. Integration of Singular Subalgebroids by diffeological groupoids. Transactions AMS. In Press.
diffeo_18sept2025.pdf764 KB

Abstract:

We establish an integration theory for singular subalgebroids, by diffeological groupoids. To do so, we single out a class of diffeological groupoids satisfying specific properties, and we introduce a differentiation-integration procedure under which they correspond to singular subalgebroids. Our definition of integration distinguishes the holonomy groupoid from the graph, although both differentiate to the original singular subalgebroid: the holonomy groupoid satisfies a certain submersive property, while the graph does not.