Hierarchies of holonomy groupoids for foliated bundles

We give a new construction of the holonomy groupoid regular foliation in terms partial connection on diffeological principal bundle germs transverse parametrisations, which may be viewed as systematisation Winkelnkemper’s original using ideas from gauge theory. extend these to construct novel for any foliated bundle, we prove sits at top hierarchy jet groupoids associated with bundle. This shows that while Winkelnkemper is smallest Lie integrates foliation, it far does so.