On the cohomology of Seifert and graph manifolds
type: Item
instance of: scholarly article
title: On the cohomology of Seifert and graph manifolds
zbMATH Open document ID: 1022.57013
DOI: 10.1016/S0166-8641(02)00040-8
author: Kerstin Aaslepp
author: Michael Drawe
author: Claude Hayat-Legrand
author: Christian A. Sczesny
author: Heiner Zieschang
published in: Topology and its Applications
publication date: 2003-04-28T00:00:00Z
review text: The authors describe a cell-decomposition of a general Seifert manifold \(M^3= SF(g,b,r:(\alpha_1,\beta_1),\dots,(\alpha_r,\beta_r))\). They construct chain and cochain complexes from the resulting CW-complex, and calculate the cohomology ring of \(M^3\). A corresponding calculation is made for a graph manifold which is constructed, roughly speaking, from the union of a finite number of Seifert manifolds which intersect one another along their boundary tori.
Mathematics Subject Classification ID: 57N65
Mathematics Subject Classification ID: 55R99
Mathematics Subject Classification ID: 57M50
Mathematics Subject Classification ID: 55N99
Mathematics Subject Classification ID: 57N10
zbMATH DE Number: 1901926
zbMATH Keywords: Seifert fibration
zbMATH Keywords: graph manifold
zbMATH Keywords: Seifert manifold
zbMATH Keywords: cohomology ring
zbMATH Keywords: cup product
reviewed by: Lee P. Neuwirth
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1901926