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The holonomy of a singular leaf

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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Submitted on : Monday, May 16, 2022 - 1:24:18 PM
Last modification on : Tuesday, May 17, 2022 - 3:47:25 AM

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

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