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arXiv · 2008.07976

Integration of singular subalgebroids by diffeological groupoids

Iakovos Androulidakis·Marco Zambon
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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.

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Iakovos Androulidakis, Marco Zambon. 2020-08-18. Integration of singular subalgebroids by diffeological groupoids. https://arxiv.org/abs/2008.07976

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