The topology of 4-manifolds / Robion C. Kirby.

Author
Kirby, Robion C., 1938- [Browse]
Format
Book
Language
English
Εdition
1st ed. 1989.
Published/​Created
  • Berlin, Heidelberg : Springer, [1989]
  • ©1989
Description
1 online resource (VIII, 112 p.)

Details

Subject(s)
Series
  • Lecture notes in mathematics (Berlin) ; Volume 1374. [More in this series]
  • Lecture Notes in Mathematics ; Volume 1374
Summary note
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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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.
Notes
Bibliographic Level Mode of Issuance: Monograph
Source of description
Description based on print version record.
Language note
English
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.
ISBN
3-540-46171-X
OCLC
1066185838
Doi
  • 10.1007/BFb0089031
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