Lie local subgroupoids and their holonomy and monodromy Lie groupoids
Differential Geometry
2007-05-23 v2 Symplectic Geometry
Abstract
The notion of local equivalence relation on a topological space is generalised to that of local subgroupoid. The main result is the construction of the holonomy and monodromy groupoids of certain Lie local subgroupoids, and the formulation of a monodromy principle on the extendibility of local Lie morphisms.
Cite
@article{arxiv.math/9808112,
title = {Lie local subgroupoids and their holonomy and monodromy Lie groupoids},
author = {Ronald Brown and Ilhan Içen},
journal= {arXiv preprint arXiv:math/9808112},
year = {2007}
}
Comments
12 pages. This revised version leaves out material on coherence, which is submitted elswhere