Linearization of Regular Proper Groupoids
| dc.creator | Weinstein, Alan | |
| dc.date | 2001-07-05 | |
| dc.date | 2001-11-16 | |
| dc.date.accessioned | 2026-07-07T04:42:29Z | |
| dc.date.available | 2026-07-07T04:42:29Z | |
| dc.description | Let G be a Lie groupoid over M such that the target-source map from G to M x M is proper. We show that, if O is an orbit of finite type (i.e. which admits a proper function with finitely many critical points), then the restriction G|U of G to some neighborhood U of O in M is isomorphic to a similar restriction of the action groupoid for the linear action of the transitive groupoid G|O on the normal bundle NO. The proof uses a deformation argument based on a cohomology vanishing theorem, along with a slice theorem which is derived from a new result on submersions with a fibre of finite type. | |
| dc.description | 24 pages (minor corrections in second version) | |
| dc.identifier | https://arxiv.org/abs/math/0107038 | |
| dc.identifier | http://arxiv.org/abs/math/0107038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61804 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58H05; 57R99 | |
| dc.title | Linearization of Regular Proper Groupoids | |
| dc.type | text |