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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@article{Laurent-Gengoux-The-holonomy-of-2022,
 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.},
 author = {Laurent-Gengoux, Camille and Ryvkin, Leonid},
 doi = {10.1007/s00029-021-00753-z},
 eprint = {1912.05286},
 fjournal = {Selecta Mathematica. New Series},
 issn = {1022-1824},
 journal = {Sel. Math., New Ser.},
 keywords = {53C12,53C29,58A50,57R30,14F35},
 language = {English},
 note = {Id/No 45},
 number = {2},
 pages = {38},
 title = {The holonomy of a singular leaf},
 volume = {28},
 year = {2022},
 zbl = {1491.53031},
 zbmath = {7498242}
}