Algebraic Characterization of Geometric 4-Manifolds

Name: Algebraic Characterization of Geometric 4-Manifolds
Price: 19.35 USD
Availability: InStock
ISBN: 9780521467780

ISBN-10: 0521467780

ISBN-13: 9780521467780

Edition: 1994

Authors: J. A. Hillman, N. J. Hitchin

List price: $56.99

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Description:

This book describes work 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.

Book details

List price: $56.99
Copyright year: 1994
Publisher: Cambridge University Press
Publication date: 2/3/1994
Binding: Paperback
Pages: 184
Size: 5.98" wide x 8.98" long x 0.39" tall
Weight: 0.594
Language: English



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