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, which may be viewed as a systematisation of Winkelnkemper’s original construction using ideas from gauge theory. 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 with the foliated bundle. This shows that while the Winkelnkemper holonomy groupoid is the smallest Lie groupoid that integrates a foliation, it is far from the smallest diffeological groupoid that does so.

我们根据横向参数化的胚芽的差异学主束的部分连接，给出了规则叶面的完整群状体的新构造，这可以看作是 Winkelnkemper 使用规范理论思想的原始构造的系统化。我们扩展了这些想法，为任何叶丛构建了一个新的完整类群，我们证明它位于与叶丛相关的 diffeological jet holonomy groupoids 层次结构的顶部。这表明，虽然 Winkelnkemper holonomy groupoid 是集成叶理的最小 Lie groupoid，但它远不是最小的 diffeological groupoid。