The Algebraic Characterization of Geometric 4-Manifolds
Seiten
1994
Cambridge University Press (Verlag)
978-0-521-46778-0 (ISBN)
Cambridge University Press (Verlag)
978-0-521-46778-0 (ISBN)
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.
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.
| Erscheint lt. Verlag | 3.2.1994 |
|---|---|
| Reihe/Serie | London Mathematical Society Lecture Note Series |
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 152 x 228 mm |
| Gewicht | 266 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-521-46778-0 / 0521467780 |
| ISBN-13 | 978-0-521-46778-0 / 9780521467780 |
| Zustand | Neuware |
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