A compactly generated pseudogroup which is not realizable
Geometric Topology
2021-01-06 v3 Dynamical Systems
Abstract
We exhibit a pseudogroup of smooth local transformations of the real line which is compactly generated, but not realizable as the holonomy pseudogroup of a foliation of codimension 1 on a compact manifold. The proof relies on a description of all foliations with the same dynamic as the Reeb component.
Keywords
Cite
@article{arxiv.0909.1019,
title = {A compactly generated pseudogroup which is not realizable},
author = {Gael Meigniez},
journal= {arXiv preprint arXiv:0909.1019},
year = {2021}
}
Comments
A corrigendum has been added to the paper. An argument in Section 3 is changed. The results are not changed