The topology of 4-manifolds /
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 pro...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer-Verlag,
[1989]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1374. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (vi, 108 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages [103]-106) and index. |
| ISBN: | 9783540461715 (electronic bk.) 354046171X (electronic bk.) |
| ISSN: | 0075-8434 ; |