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

摘要

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 S-m S-M, m M, and of the stable homology of spaces of non-resultant polynomial maps (m+1) (M+1.) Also, we calculate the homology of spaces of Z(r)-equivariant maps of odd-dimensional spheres, and discuss further generalizations.