A splitting result for the free loop space of spheres and projective spaces
| dc.creator | Bokstedt, Marcel | |
| dc.creator | Ottosen, Iver | |
| dc.date | 2004-11-26 | |
| dc.date.accessioned | 2026-07-07T05:14:43Z | |
| dc.date.available | 2026-07-07T05:14:43Z | |
| dc.description | Let X be a 1-connected compact space such that the algebra H*(X;Z/2) is generated by one single element. We compute the cohomology of the free loop space H*(LX;Z/2) including the Steenrod algebra action. When X is a projective space CP^n, HP^n, the Cayley projective plane CaP^2 or a sphere S^m we obtain a splitting result for integral and mod two cohomology of the suspension spectrum of LX_+. The splitting is in terms of the suspension spectrum of X_+ and the Thom spaces of the q-fold Whitney sums of the tangent bundle over X for non negative integers q. | |
| dc.description | 33 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411594 | |
| dc.identifier | http://arxiv.org/abs/math/0411594 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73387 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P35; 18G50; 55S10 | |
| dc.title | A splitting result for the free loop space of spheres and projective spaces | |
| dc.type | text |