Constructing Smooth Loop Spaces
| dc.creator | Stacey, Andrew | |
| dc.date | 2006-12-04 | |
| dc.date.accessioned | 2026-07-07T07:34:38Z | |
| dc.date.available | 2026-07-07T07:34:38Z | |
| dc.description | We consider the general problem of constructing the structure of a smooth manifold on a given space of loops in a smooth finite dimensional manifold. By generalising the standard construction for smooth loops, we derive a list of conditions for the model space which, if satisfied, mean that a smooth structure exists. We also show how various desired properties can be derived from the model space; for example, topological properties such as paracompactness. We pay particular attention to the fact that the loop spaces that can be defined in this way are all homotopy equivalent; and also to the action of the circle by rigid rotations. | |
| dc.description | 24 pages, no figures; uses pxfonts | |
| dc.identifier | https://arxiv.org/abs/math/0612096 | |
| dc.identifier | http://arxiv.org/abs/math/0612096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119831 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 58D15 | |
| dc.title | Constructing Smooth Loop Spaces | |
| dc.type | text |