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The Topology of 4-Manifolds

The Topology of 4-Manifolds

Paperback

General MathematicsGeometry

ISBN10: 3540511482
ISBN13: 9783540511489
Publisher: Springer
Published: May 10 1989
Pages: 112
Weight: 0.39
Height: 0.25 Width: 6.14 Depth: 9.21
Language: English
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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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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Geometry