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The Topology of 4 Manifolds Book PDF 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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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.

Detail Book of The Topology of 4 Manifolds PDF

The Topology of 4 Manifolds
  • Author : Robion C. Kirby
  • Release : 14 November 2006
  • Publisher : Springer
  • ISBN : 9783540461715
  • Genre : Mathematics
  • Total Page : 114 pages
  • Language : English
  • PDF File Size : 13,7 Mb

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