Groupoïde fondamental et d'holonomie de certains feuilletages réguliers

Abstract

Let M be a manifold with a regular foliation F. We recall the construction of the fundamental groupoid and the homotopy groupoid associated to. F. We describe some interesting particular cases and give some gluing techniques. We characterize the cases where these groupoids are Hausdorff spaces. We study in particular both groupoids associated to foliations with Reeb componente.