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the topology of 4-manifolds
Kirby (Author)
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the topology of 4-manifolds - kirby
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Origin: U.S.A.
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Synopsis "the topology of 4-manifolds"
this book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, walls diffeomorphisms and h-cobordism, and rohlins 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 rohlins theorem using spin structures. there is an introduction to casson handles and freedmans work including a chapter of unpublished proofs on exotic r4s. 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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The book is written in English.
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