Publication: The holonomy groupoid of a singular foliation
The holonomy groupoid of a singular foliation
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Androulidakis, I., & Skandalis, G. (2009). The holonomy groupoid of a singular foliation. Journal Für Die Reine Und Angewandte Mathematik, 626, 1–37. https://doi.org/10.1515/CRELLE.2009.001
Abstract
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Abstract
We construct the holonomy groupoid of any singular foliation. In the regular case this groupoid coincides with the usual holonomy groupoid of Winkelnkemper ([H. E. Winkelnkemper, The graph of a foliation, Ann. Glob. Anal. Geom. 1 (3) (1983), 51–75.]); the same holds in the singular cases of [J. Pradines, How to define the differentiable graph of a singular foliation, C. Top. Geom. Diff. Cat. XXVI(4) (1985), 339–381.], [B. Bigonnet, J. Pradines, Graphe d'un feuilletage singulier, C. R. Acad. Sci. Paris 300 (13) (1985), 439–442.], [C. D
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Androulidakis, I., & Skandalis, G. (2009). The holonomy groupoid of a singular foliation. Journal Für Die Reine Und Angewandte Mathematik, 626, 1–37. https://doi.org/10.1515/CRELLE.2009.001