\(PD_4\)-complexes with free fundamental group
type: Item
instance of: scholarly article
title: \(PD_4\)-complexes with free fundamental group
zbMATH Open document ID: 1067.57017
author: Jonathan A. Hillman
published in: Hiroshima Mathematical Journal
publication date: 2005-05-06T00:00:00Z
review text: This paper gives purely homological proofs of results on the structure of Poincaré 4-complexes with free fundamental group. It is shown that such spaces are determined by their intersection pairings and that every hermitian form on a finitely generated free module over the group ring of a free group can be so realized. Once it is shown that the 3-skeleton is a wedge of spheres the results are obtained by computing with the chain groups. A final section considers the classification of 4-manifolds with free fundamental group up to \(s\)-cobordism.
Mathematics Subject Classification ID: 57P10
Mathematics Subject Classification ID: 57N13
Mathematics Subject Classification ID: 57R80
zbMATH DE Number: 2165947
zbMATH Keywords: free group
zbMATH Keywords: 4-manifold
zbMATH Keywords: Poincaré duality
zbMATH Keywords: intersection form
reviewed by: Jonathan Hodgson
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2165947