The differential topology of loop spaces
| dc.creator | Stacey, Andrew | |
| dc.date | 2005-10-05 | |
| dc.date.accessioned | 2026-07-07T06:21:09Z | |
| dc.date.available | 2026-07-07T06:21:09Z | |
| dc.description | This is an introduction to the subject of the differential topology of the space of smooth loops in a finite dimensional manifold. It began as the background notes to a series of seminars given at NTNU and subsequently at Sheffield. I am posting them in the hope that they will be useful to people wishing to know a little about the basics of the subject. I have tried to make them readable by anyone with a good grounding in finite dimensional differential topology. Any comments and suggestions for improvement will be very welcome. The topics covered are: the smooth structure of the space of smooth loops; constructions involving vector bundles; submanifolds and tubular neighbourhoods; and a short introduction to the geometry and semi-infinite structure of loop spaces. | |
| dc.description | 55 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510097 | |
| dc.identifier | http://arxiv.org/abs/math/0510097 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95511 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 58D15 (Primary); 58B10 (Secondary) | |
| dc.title | The differential topology of loop spaces | |
| dc.type | text |