The cohomology ring of the orientable Seifert manifolds, II

Abstract

The cohomology ring of an arbitrary orientable Seifert manifold is computed with Z/p coefficients for any prime p. In some cases the cohomology rings are given with Z/p s coefficients. These results will be used to compute the abelian Witten–Reshetikhin–Turaev type invariants and Dijkgraaf–Witten invariants for some classes of Seifert manifolds in a later paper. Finally, necessary and sufficient conditions for the existence of a degree one map from an orientable Seifert manifold into a lens space are given.