The loop-coproduct spectral sequence
| dc.creator | Borgne, J. F. Le | |
| dc.date | 2005-12-13 | |
| dc.date.accessioned | 2026-07-07T06:55:08Z | |
| dc.date.available | 2026-07-07T06:55:08Z | |
| dc.description | Let $M$ be a closed oriented $d$-dimensionnal manifold and let $LM$ be the space of free loops on $M$. In this paper, we give a geometrical interpretation of the loop coproduct and we study it's compatibility with the Serre spectral sequence associated to the fibration $ΩM \to LM \to M$. Then, we show that the spectral sequence associated to the free loop fibration $LN \to LX \to LM$ of some Serre fibration $N \to X \to M$ is a spectral sequence of Frobenius algebra. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0512276 | |
| dc.identifier | http://arxiv.org/abs/math/0512276 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106188 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P35, 54N45, 55N33, 17A65, 81T30, 17B55 | |
| dc.title | The loop-coproduct spectral sequence | |
| dc.type | text |