The Algebraic Characterization of Geometric 4-Manifolds

The Algebraic Characterization of Geometric 4-Manifolds - London Mathematical Society Lecture Note Series

Paperback (02 Mar 1994)

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Publisher's Synopsis

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.

Book information

ISBN: 9780521467780
Publisher: Cambridge University Press
Imprint: Cambridge University Press
Pub date:
DEWEY: 514.3
DEWEY edition: 20
Language: English
Number of pages: 170
Weight: 266g
Height: 228mm
Width: 152mm
Spine width: 10mm