Singular foliations with Ehresmann connections
and their holonomy groupoids

Nina I. Zhukova

doi:10.4064/bc76-0-23

Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Banach Center Publications / Wszystkie tomy

Singular foliations with Ehresmann connections and their holonomy groupoids

Tom 76 / 2007

Nina I. Zhukova Banach Center Publications 76 (2007), 471-490 MSC: Primary 53C12; Secondary 57R30. DOI: 10.4064/bc76-0-23

Streszczenie

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.

Autorzy

Nina I. ZhukovaDepartment of Mechanics and Mathematics
Nizhny Novgorod State University
23 Gagarin Avenue
603950 Nizhny Novgorod, Russia
e-mail

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