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Beschreibung
This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, Wall's diffeomorphisms and h-cobordism, and Rohlin's theorem. Most of the proofs are new or are returbishings of post proofs; all are geometric and make us of handlebody theory. There is a new proof of Rohlin's theorem using spin structures. There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions. The book should be useful to beginning researchers in 4-manifolds.
Details
| Verlag | Springer Berlin |
| Ersterscheinung | 10. Mai 1989 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 195 Gramm |
| Format | Softcover |
| ISBN-13 | 9783540511489 |
| Seiten | 112 |
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