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 There is an introduction to Casson handles and Freedman''s work including a chapter of unpublished proofs on exotic R4''s. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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.
Get The Topology of 4-Manifolds by at the best price and quality guranteed only at Werezi Africa largest book ecommerce store. The book was published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG and it has pages. Enjoy Shopping Best Offers & Deals on books Online from Werezi - Receive at your doorstep - Fast Delivery - Secure mode of Payment
