The Topology of 4-Manifolds, Paperback / softback Book

The Topology of 4-Manifolds Paperback / softback

Part of the Nankai Institute of Mathematics, Tianjin, P.R. China series

Paperback / softback

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Description

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There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's.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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