  The aim of this paper is to explain the relationship between the (co)homology
of the free loop space and the Hochschild homology of its singular cochain
algebra. We introduce all the relevant technical tools, namely simplicial and
cyclic objects, and we provide the various steps of the proofs, which are
scattered around in the literature. This paper can be seen as a companion to
the paper "Cyclic homology and equivariant homology" by J.D.S. Jones dealing
with the cyclic case.
