Local subgroupoids II: Examples and properties

Details Local subgroupoids II: Examples and properties Local subgroupoids II: Examples and properties

2000-08-22

arxiv.org/abs/math/0008165v2

Mathematics

Differential Geometry

18 pages. replacement gives a change to the use of the flat condition for a path connection, and adds a reference on locally L

Scientific paper

The notion of local subgroupoid as a generalisation of a local equivalence relation was defined in a previous paper by the first two authors. Here we use the notion of star path connectivity for a Lie groupoid to give an important new class of examples, generalising the local equivalence relation of a foliation, and develop in this new context basic properties of coherence, due earlier to Rosenthal in the special case. These results are required for further applications to holonomy and monodromy.

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