书目名称 | The Topology of 4-Manifolds |
编辑 | Robion C. Kirby |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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 There is an introduction to Casson handles and Freedman‘s work including a chapter of unpublished proofs on exotic R4‘s. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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. |
出版日期 | Book 1989 |
关键词 | Characteristic class; Homotopy; diffeomorphism; manifold; topology |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0089031 |
isbn_softcover | 978-3-540-51148-9 |
isbn_ebook | 978-3-540-46171-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1989 |