| The Topology of 4-Manifolds Contributor(s): Kirby, Robion C. (Author) |
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ISBN: 3540511482 ISBN-13: 9783540511489 Publisher: Springer OUR PRICE: $31.34 Product Type: Paperback - Other Formats Published: May 1989 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General - Mathematics | Topology - General |
| Dewey: 514 |
| Physical Information: 0.25" H x 6.14" W x 9.21" (0.39 lbs) 112 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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. |
