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Journal Articles Selecta Mathematica (New Series) Year : 2022

The holonomy of a singular leaf

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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 πn(L) to the πn−1 of the universal Lie ∞-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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Dates and versions

hal-03669113 , version 1 (16-05-2022)

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Camille Laurent-Gengoux, Leonid Ryvkin. The holonomy of a singular leaf. Selecta Mathematica (New Series), 2022, 28 (2), pp.45. ⟨10.1007/s00029-021-00753-z⟩. ⟨hal-03669113⟩
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