Groupo\"ides de Lie et Feuilletages
Geometric Topology
2007-11-16 v1 Category Theory
Abstract
This is a survey concerning the relationship between Lie Groupoids (and their morphisms) and singular foliations in the sense of Sussmann-Stefan (considered from a purely geometrical point of view). We focus on the interaction between the algebraic and differentiable structures underlying Lie groupoids, and between groups and graphs of equivalence relations, regarded as two basic degeneracies for groupoids. Historical remarks, motivations and examples are developed in five appendices.
Cite
@article{arxiv.0711.2462,
title = {Groupo\"ides de Lie et Feuilletages},
author = {Jean Pradines},
journal= {arXiv preprint arXiv:0711.2462},
year = {2007}
}
Comments
56 pages, 1 figure, lecture delivered in Paris, October 2003, Journ\'ees Feuilletages et Quantification G\'eom\'etrique