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## Twisted homology of configuration spaces and homology of spaces of equivariant maps

Doklady Mathematics. 2018. Vol. 98. No. 3. P. 629-633.

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 \to S^M, m<M, and of the stable homology of spaces of non-resultant polynomial maps R^{m+1} -> R^{M+1}. Also, we calculate the homology of spaces of Z_r-equivariant maps of odd-dimensional spheres, and discuss further generalizations.