Groupoïdes de Lie et Feuilletages
Abstract
Description
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.
56 pages, 1 figure, lecture delivered in Paris, October 2003, Journées Feuilletages et Quantification Géométrique
56 pages, 1 figure, lecture delivered in Paris, October 2003, Journées Feuilletages et Quantification Géométrique