Contact topology and the structure of 5-manifolds with \(\pi_1={\mathbb Z}_2\)
type: Item
instance of: scholarly article
title: Contact topology and the structure of 5-manifolds with \(\pi_1={\mathbb Z}_2\)
zbMATH Open document ID: 0912.57020
author: Hansjörg Geiges
author: Charles B. Thomas
publication date: 1998-11-09T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75313
review text: The main result of this paper is that a closed orientable 5-manifold with fundamental group \(\mathbb{Z}_2\) and with second Stiefel-Whitney class evaluating to zero on integral homology admits a contact structure. The paper constructs contact structures on ten example manifolds and uses contact surgery to obtain the general case.
Mathematics Subject Classification ID: 57R65
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 57M50
Mathematics Subject Classification ID: 57N15
zbMATH DE Number: 1220357
zbMATH Keywords: surgery
zbMATH Keywords: contact structures
zbMATH Keywords: contact surgery
zbMATH Keywords: involutions
zbMATH Keywords: Brieskorn manifolds
zbMATH Keywords: characteristic submanifold
zbMATH Keywords: pin cobordism
MaRDI profile type: Publication
OpenAlex ID: W2058525351
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DOI: 10.5802/AIF.1653
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 1220357