2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71750Recently 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.14 pagesAlgebraic TopologyGeometric Topology55P35; 54N45; 55N33; 17A65; 81T30; 17B55text