The Topology of 4-Manifolds (Paperback) (ISBN-13: 9783540511489)

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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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

Author: Robion C. Kirby
ISBN-10: 3540511482
ISBN-13: 9783540511489
Publisher: Springer
Language: English
Published: 05/10/1989
Pages: 112
Format: Paperback
Weight: 0.39lbs
Size: 9.21h x 6.14w x 0.25d