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The Algebraic Characterization of Geometric 4-Manifolds : London Mathematical Society Lecture Note Series - J. A. Hillman

The Algebraic Characterization of Geometric 4-Manifolds

London Mathematical Society Lecture Note Series

Paperback Published: 4th April 1994
ISBN: 9780521467780
Number Of Pages: 184

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This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces. This book is essential reading for anyone interested in low-dimensional topology.

Preface
Algebraic preliminaries
General results on the homotopy type of 4-manifolds
Mapping tori and circle bundles
Surface bundles
Simple homotopy type, s-cobordism and homeomorphism
Aspherical geometries
Manifolds covered by S2 x R2
Manifolds covered by S3 x R
Geometries with compact models
Applications to 2-knots and complex surfaces
Appendix
Problems
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521467780
ISBN-10: 0521467780
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 184
Published: 4th April 1994
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.1
Weight (kg): 0.23