  Let M be a simply-connected closed manifold and consider the (ordered)
configuration space of $k$ points in M, F(M,k). In this paper we construct a
commutative differential graded algebra which is a potential candidate for a
model of the rational homotopy type of F(M,k). We prove that our model it is at
least a Sigma_k-equivariant differential graded model.
  We also study Lefschetz duality at the level of cochains and describe
equivariant models of the complement of a union of polyhedra in a closed
manifold.
