Rational String Topology
| dc.creator | Felix, Yves | |
| dc.creator | Thomas, Jean-Claude | |
| dc.creator | Vigue-Poirrier, Micheline | |
| dc.date | 2004-06-29 | |
| dc.date.accessioned | 2026-07-07T05:09:48Z | |
| dc.date.available | 2026-07-07T05:09:48Z | |
| dc.description | We use the computational power of rational homotopy theory to provide an explicit cochain model for the loop product and the string bracket of a 1-connected closed manifold M. We prove that the loop homology of M is isomorphic to the Hochschild cohomology of the commutative graded algebra A_{PL}(M) with coefficients in itself. Some explicit computations of the loop product and the string bracket are given. | |
| dc.identifier | https://arxiv.org/abs/math/0406593 | |
| dc.identifier | http://arxiv.org/abs/math/0406593 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71720 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P35, 54N45,55N33,17A65,81T30,17B55 | |
| dc.title | Rational String Topology | |
| dc.type | text |