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9783540511489

Topology of 4-Manifolds
Topology of 4-Manifolds
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  • ISBN-13: 9783540511489
  • ISBN: 3540511482
  • Publication Date:
  • Publisher: Springer

AUTHOR

SUMMARY

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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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.Kirby, Robin C. is the author of 'Topology of 4-Manifolds', published 1991 under ISBN 9783540511489 and ISBN 3540511482.

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