paper

The neighbourhood of a singular leaf

arXiv:2004.07019

Abstract

An important result for regular foliations is their formal semi-local triviality near simply connected leaves. We extend this result to singular foliations for all 2-connected leaves and a wide class of 1- connected leaves by proving a semi-local Levi-Malcev theorem for the semi-simple part of their holonomy Lie algebroid.

26 pages, 1 figure, minor improvements following several readers suggestions