论文标题

植物捆绑包的尸体型层次结构

Hierarchies of holonomy groupoids for foliated bundles

论文作者

MacDonald, Lachlan Ewen

论文摘要

我们根据横向参数的差异主体束的部分连接,为定期叶片的植物群体植物的新结构提供了新的结构。我们将这些想法扩展到为任何叶的捆绑包构建一种新颖的自律类固醇,我们证明这是与叶捆束相关的差异射流尸体群的层次结构的顶部。

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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