Singular foliations with Ehresmann connections and their holonomy groupoids

Nina I. Zhukova¹
Banach Center Publ. 76 (2007), 471-490

Abstract: 
We introduce topological ${\cal Q}$-holonomy groupoids
for singular foliations $(M,\cal F)$ with an Ehresmann connection
$\cal Q$ using $\cal Q$-holonomy groups, which have a global
character. We show advantage of our groupoids over known ones.

MSC (2000): Primary 53C12; Secondary 57R30.

Department of Mechanics and Mathematics
Nizhny Novgorod State University
23 Gagarin Avenue
603950 Nizhny Novgorod, Russia