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arXiv · 2004.13929

Hierarchies of holonomy groupoids for foliated bundles

Lachlan Ewen MacDonald
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Abstract

We give a new construction of the holonomy groupoid of a regular foliation in terms of a partial connection on a diffeological principal bundle of germs of transverse parametrisations. We extend these ideas to construct a novel holonomy groupoid for any foliated bundle, which we prove sits at the top of a hierarchy of diffeological jet holonomy groupoids associated to the foliated bundle.

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Lachlan Ewen MacDonald. 2020-04-29. Hierarchies of holonomy groupoids for foliated bundles. https://arxiv.org/abs/2004.13929

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