Low-dimensional topology,

✍ Scribed by Brown R., Thickstun T.L. (eds.)

• Publisher: CUP
• Year: 1982
• Tongue: English
• Leaves: 257
• Series: London Mathematical Society Lecture Note Series
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Cover......Page 1
Title......Page 4
Contents......Page 6
Dedication......Page 8
Preface......Page 9
Addresses of contributors......Page 10
Part 1: 3-manifolds......Page 12
The classification of compact 3-manifolds......Page 14
Hyperbolic geometry and 3-manifolds......Page 20
Sewing-up link exteriors......Page 38
Periodic transformations in homology 3-spheres\rand the Rohlin invariant......Page 50
Part 2: Knot theory......Page 60
The universal abelian cover of a link......Page 62
Levine's theorem - a remark......Page 78
The factorisation of knots......Page 82
Seven excellent knots......Page 92
Part 3: Two-dimensional homotopy theory......Page 163
Identities among relations......Page 164
On Peiffer transformations, link diagrams and a question of J.H.C.Whitehead......Page 214
Higher-dimensional group theory......Page 226
Part 4: 4-manifolds......Page 250
Actions of compact connected groups on 4-manifolds......Page 252