2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71720We 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.Algebraic Topology55P35, 54N45,55N33,17A65,81T30,17B55text