Groupoïdes de Lie et Feuilletages

Details Groupoïdes de Lie et Feuilletages Groupoïdes de Lie et Feuilletages

2007-11-15

arxiv.org/abs/0711.2462v1

Feuilletages et Quantification G\'eom\'etrique, Textes des Journ\'ees d'\'etude des 16 et 17 octobre 2003, Maison des Sciences

Mathematics

Geometric Topology

56 pages, 1 figure, lecture delivered in Paris, October 2003, Journ\'ees Feuilletages et Quantification G\'eom\'etrique

Scientific paper

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.

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