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The Topology of 4 Manifolds Lecture Notes in Mathematics 1374

by [Robion C. Kirby]

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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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

  • Springer Brand
  • May 10, 1989 Pub Date:
  • 9783540511489 ISBN-13:
  • 3540511482 ISBN-10:
  • 120.0 pages Paperback
  • English Language
  • 9.25 in * 0.28 in * 6.1 in Dimensions:
  • 0 lb Weight: