The cohomology ring of non-orientable Seifert manifolds. (L’anneau de cohomologie des variétés de Seifert non-orientables.) (French. English summary) Zbl 1364.57020
This paper, which is in French with abstracts in both French and English, computes the cohomology ring of orientable and non-orientable Seifert manifolds with \({\mathbb Z}_{p}\) coefficients. The method used is to give an explicit \(\Delta\)-simplicial decomposition of the spaces and to make use of the Alexander-Whitney formula to compute the cup products. The main content of the paper consists of these explicit computations.
Reviewer: Jonathan Hodgson (Swarthmore)
MSC:
57N65 | Algebraic topology of manifolds |
57S25 | Groups acting on specific manifolds |
55N45 | Products and intersections in homology and cohomology |