We compute the loop space homology of the space F(M,k) of configurations of k points in a compact simply connected manifold M. We prove in particular that, if H* (M, Q) is not generated by one generator, then the rational homology of OMEGAF (M, k) contains a tensor algebra for k greater-than-or-equal-to 2.
Félix, Y., & Thomas, JC. (1994). [Homology of Spaces of Strings of Configuration-spaces]. Institut Fourier. Annales, 44(2), 559-568. https://hdl.handle.net/2078.5/86157 (Original work published 1994)