The cohomology ring of non-orientable Seifert manifolds (Q522139)

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scientific article; zbMATH DE number 6705685
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The cohomology ring of non-orientable Seifert manifolds
scientific article; zbMATH DE number 6705685

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    The cohomology ring of non-orientable Seifert manifolds (English)
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    13 April 2017
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    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.
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    Seifert manifold
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    Alexander-Whitney formula
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    \(\Delta\)-simplicial cochains
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