Twisted Homology of Configuration Spaces and Homology of Spaces of Equivariant Maps

We calculate homology groups with certain twisted coefficients of configuration spaces of projective spaces. This completes a calculation of rational homology groups of spaces of odd maps of spheres Sm → SM, m < M, and of the stable homology of spaces of non-resultant polynomial maps ℝm+1 → ℝM+1. Also, we calculate the homology of spaces of ℤr-equivariant maps of odd-dimensional spheres, and discuss further generalizations.