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arXiv · 1912.05286

The holonomy of a singular leaf

Camille Laurent-Gengoux·Leonid Ryvkin
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Abstract

We introduce the holonomy of a singular leaf $L$ of a singular foliation as a sequence of group morphisms from $\pi_n(L)$ to the $\pi_{n-1}$ of the universal Lie $\infty$-algebroid of the transverse foliation of $L$. We include these morphisms in a long exact sequence, thus relating them to the holonomy groupoid of Androulidakis and Skandalis and to a similar construction by Brahic and Zhu for Lie algebroids.

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Camille Laurent-Gengoux, Leonid Ryvkin. 2019-12-11. The holonomy of a singular leaf. https://arxiv.org/abs/1912.05286

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