The co-Riemannian Structure of Smooth Loop Spaces
| dc.creator | Stacey, Andrew | |
| dc.date | 2008-09-18 | |
| dc.date.accessioned | 2026-07-07T10:03:43Z | |
| dc.date.available | 2026-07-07T10:03:43Z | |
| dc.description | We construct a natural co-Riemannian structure on the manifold of smooth loops in a Riemannian manifold. We show that the smooth loop space of a string manifold is a per-Hilbert-Schmidt locally equivalent co-spin manifold and thus admits a Dirac operator. | |
| dc.description | 30 pages. Together with arXiv:0809.3401 this replaces math.DG/0505077 | |
| dc.identifier | https://arxiv.org/abs/0809.3108 | |
| dc.identifier | http://arxiv.org/abs/0809.3108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169391 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58B20 (Primary); 58D15, 53C15 (Secondary) | |
| dc.title | The co-Riemannian Structure of Smooth Loop Spaces | |
| dc.type | text |