Low-Dimensional Topology

doi:10.1017/CBO9780511758935

This volume consists of the proceedings of a conference held at the University College of North Wales (Bangor) in July of 1979. It assembles research papers which reflect diverse currents in low-dimensional topology. The topology of 3-manifolds, hyperbolic geometry and knot theory emerge as major themes. The inclusion of surveys of work in these areas should make the book very useful to students as well as researchers.

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Low-Dimensional Topology

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Dedication
pp vii-vii

Preface
pp viii-viii

Addresses of contributors
pp ix-x

Part 1 - 3-manifolds
pp 1-2

The classification of compact 3-manifolds
pp 3-8

Hyperbolic geometry and 3-manifolds
pp 9-26

Sewing-up link exteriors
pp 27-38

Periodic transformations in homology 3-spheres and the Rohlin invariant
pp 39-48

Part 2 - Knot theory
pp 49-50

The universal abelian cover of a link
pp 51-66

Levine's theorem – a remark
pp 67-70

The factorisation of knots
pp 71-80

Seven excellent knots
pp 81-151

Part 3 - Two-dimensional homotopy theory
pp 152-152

Identities among relations
pp 153-202

On Peiffer transformations, link diagrams and a question of J. H. C. Whitehead
pp 203-214

Higher-dimensional group theory
pp 215-238

Part 4 - 4-manifolds
pp 239-240

Actions of compact connected groups on 4-manifolds
pp 241-246

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Low-Dimensional Topology

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