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The Algebraic Characterization of Geometric 4-Manifolds

The Algebraic Characterization of Geometric 4-Manifolds

Paperback

Series: London Mathematical Society Lecture Note, Book 198

General MathematicsGeometry

ISBN10: 0521467780
ISBN13: 9780521467780
Publisher: Cambridge University Press
Published: Feb 3 1994
Pages: 184
Weight: 0.50
Height: 0.43 Width: 6.00 Depth: 8.95
Language: English
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.

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Geometry