The Holonomy Groupoids of Singularly Foliated Bundles
نویسندگان
چکیده
We define a notion of connection in fibre bundle that is compatible with singular foliation the base. Fibre bundles equipped such connections are plentiful supply, arising naturally for any Lie groupoid-equivariant bundle, and simultaneously generalising regularly foliated sense Kamber-Tondeur foliations. hierarchies diffeological holonomy groupoids associated to bundles, which arise from parallel transport jet/germinal conservation laws. show this manner trivial singularly quotients Androulidakis-Skandalis groupoids, coincide regular case. Finally we prove functoriality all our constructions under appropriate morphisms.
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ژورنال
عنوان ژورنال: Symmetry Integrability and Geometry-methods and Applications
سال: 2021
ISSN: ['1815-0659']
DOI: https://doi.org/10.3842/sigma.2021.043