J. A. Hillman

Algebraic Characterization of Geometric 4-Manifolds (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 3. Februar 1994
• Englisch
• ISBN-13: 9780511892936
• Artikelnr.: 38215722

Inhaltsangabe

Preface
1. Algebraic preliminaries
2. General results on the homotopy type of 4-manifolds
3. Mapping tori and circle bundles
4. Surface bundles
5. Simple homotopy type, s-cobordism and homeomorphism
6. Aspherical geometries
7. Manifolds covered by S2 x R2
8. Manifolds covered by S3 x R
9. Geometries with compact models
10. Applications to 2-knots and complex surfaces
Appendix
Problems
References
Index.