  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.
