The cohomology ring of non-orientable Seifert manifolds
type: Item
instance of: scholarly article
title: The cohomology ring of non-orientable Seifert manifolds
zbMATH Open document ID: 1364.57020
author: A. Bauval
author: C. Hayat
published in: Osaka Journal of Mathematics
publication date: 2017-04-13T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ojm/1488531789
review text: 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.
Mathematics Subject Classification ID: 57N65
Mathematics Subject Classification ID: 57S25
Mathematics Subject Classification ID: 55N45
zbMATH DE Number: 6705685
zbMATH Keywords: Seifert manifold
zbMATH Keywords: Alexander-Whitney formula
zbMATH Keywords: \(\Delta\)-simplicial cochains
reviewed by: Jonathan Hodgson
MaRDI profile type: Publication
Recommended article: The cohomology ring structure of Seifert manifolds
Recommended article: The cohomology ring of a class of Seifert manifolds
Recommended article: L'anneau de cohomologie d'une variété de Seifert
Recommended article: The cohomology ring of the orientable Seifert manifolds. II
Recommended article: Q3372383
Recommended article: The integral homology of orientable Seifert manifolds
Recommended article: Q4249369
Recommended article: On the cohomology of Seifert and graph manifolds
Recommended article: Cohopficity of Seifert-Bundle Groups
Recommended article: Cohomology rings of a class of torus manifolds
description: scientific article; zbMATH DE number 6705685