String spectral sequence
| dc.creator | Borgne, Le | |
| dc.date | 2004-09-30 | |
| dc.date | 2005-01-06 | |
| dc.date.accessioned | 2026-07-07T05:12:44Z | |
| dc.date.available | 2026-07-07T05:12:44Z | |
| dc.description | We define shriek map for a finite codimensionnal embedding of fibration. We study the morphisms induced by shriek maps in the Leray-Serre spectral sequence. As a byproduct, we get two multiplicative spectral sequences of algebra wich converge to the Chas and Sullivan algebra $\mathbb{H}_*(LE)$ of the total space $E$ of a fibration. We apply this technic to find some result on the intersection morphism $I: \mathbb{H}_*(LE) \longrightarrow H_*(ΩE)$ and to the space of free paths on a manifold $M^I$. | |
| dc.description | 16 pages Add some new results at the preceding version titled "Chas and Sullivan algebra of fiber bundles" | |
| dc.identifier | https://arxiv.org/abs/math/0409597 | |
| dc.identifier | http://arxiv.org/abs/math/0409597 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72689 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P35, 54N45, 55N33, 17A65, 81T30, 17B55 | |
| dc.title | String spectral sequence | |
| dc.type | text |