J. A. Hillman, Jonathan A. Hillman

The Algebraic Characterization of Geometric 4-Manifolds

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 184
• Erscheinungstermin: 14. Oktober 2005
• Englisch
• Abmessung: 229mm x 152mm x 10mm
• Gewicht: 276g
• ISBN-13: 9780521467780
• ISBN-10: 0521467780
• Artikelnr.: 21494021

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.