Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties
Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties
We discuss inequalities between the values of \emph{homotopical and cohomological Poincar\'e polynomials} of the self-products of rationally elliptic spaces. For rationally elliptic quasi-projective varieties, we prove inequalities between the values of generating functions for the ranks of the graded pieces of the weight and Hodge filtrations of the canonical mixed …