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The Topology of 4-Manifolds
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The Topology of 4-Manifolds

1st ed. 1989. 2nd printing 1991

Book Details

Format Paperback / Softback
ISBN-10 3540511482
ISBN-13 9783540511489
Edition 1st ed. 1989. 2nd printing 1991
Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Manufacture GB
Country of Publication GB
Publication Date May 10th, 1989
Print length 112 Pages
Weight 196 grams
Dimensions 15.80 x 23.40 x 1.10 cms
Product Classification: Topology
Ksh 4,500.00
Werezi Extended Catalogue 0 in stock

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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. There is a new proof of Rohlin's theorem using spin structures.
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 There is an introduction to Casson handles and Freedman''s work including a chapter of unpublished proofs on exotic R4''s. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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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