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, Wall's diffeomorphisms and h-cobordism, and Rohlin's theorem. Most of the proofs are new or are returbishings of post pro...

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Bibliographic Details
Main Author: Kirby, Robion C.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1989, 1989
Edition:1st ed. 1989
Series:Nankai Institute of Mathematics, Tianjin, P.R. China
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Handlebodies and framed links
  • Intersection forms
  • Classification theorems
  • Spin structures
  • T Lie 3 and
  • Immersing 4-manifolds in R 6
  • 3-Manifolds; a digression
  • Bounding 5-manifolds
  • p 1(M) = 3?(M), ? 4 so = Z and ? 4 spin = Z
  • Wall's diffeomorphisms and H-cobordism
  • Rohlin's theorem
  • Casson handles
  • Freedman's work
  • Exotic R 4's