+612 9045 4394
 
CHECKOUT
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
RRP $72.95
$64.95
11%
OFF
This title is not in stock at the Booktopia Warehouse and needs to be ordered from our supplier.
Click here to read more about delivery expectations.

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): 0.28