The Cohomology of Certain Function Spaces
Martin Bendersky, Sam Gitler · Transactions of the American Mathematical Society · 1991
We study a spectral sequence converging to the cohomology of the configuration space of $n$ ordered points in a manifold. A chain complex is constructed with homology equal to the ${E_2}$ term. If the field is the rationals and the manifold is formal then the spectral sequence is shown to collapse. The results are applied to compute the Anderson spectral sequence converging to the cohomology of a function space.