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Constructions of contact manifolds

Published online by Cambridge University Press:  01 May 1997

HANSJÖRG GEIGES
Affiliation:
Departement Mathematik, ETH Zentrum, 8092 Zürich, Switzerland

Abstract

1. Introduction

It has been known for some time that contact structures show a high degree of topological flexibility in the sense that many topological operations can be performed on contact manifolds while preserving the contact property. For instance, Martinet [14] used a surgery description of 3-manifolds to show that every closed, oriented 3-manifold admits a contact structure, and alternative proofs of this result were given later by Thurston and Winkelnkemper [18], who based their proof on an open book decomposition, and Gonzalo [8], who used branched covers. These, however, are all strictly 3-dimensional constructions.

Type
Research Article
Copyright
Cambridge Philosophical Society 1997

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