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math.DG2020
Hierarchies of holonomy groupoids for foliated bundles
Lachlan Ewen MacDonald
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 parametrisati…
math.DG2019
A characteristic map for the holonomy groupoid of a foliation
Lachlan MacDonald
We prove a generalisation of Bott's vanishing theorem for the full transverse frame holonomy groupoid of any transversely orientable foliated manifold. As a consequence we obtain a…