Frobenius Rational Loop Algebra
| dc.creator | Chataur, David | |
| dc.creator | Thomas, Jean-Claude | |
| dc.date | 2004-07-01 | |
| dc.date | 2005-03-07 | |
| dc.date.accessioned | 2026-07-07T05:09:53Z | |
| dc.date.available | 2026-07-07T05:09:53Z | |
| dc.description | Recently R. Cohen and V. Godin have proved that the homology of the free loop space of a closed oriented manifold with coefficients in a field has the structure of a Frobenius algebra without counit. In this short note we prove that when the characteristic of the field is zero and when the manifold is 1-connected the algebraic structure depends only on the rational homotopy type of the manifold. We build an algebraic model and use it to do some computations. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0407014 | |
| dc.identifier | http://arxiv.org/abs/math/0407014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71750 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Geometric Topology | |
| dc.subject | 55P35; 54N45; 55N33; 17A65; 81T30; 17B55 | |
| dc.title | Frobenius Rational Loop Algebra | |
| dc.type | text |