The topology of 4-manifolds

Author(s)

• Kirby, Robion Cromwell

Bibliographic Information

The topology of 4-manifolds

Robion C. Kirby

（Lecture notes in mathematics, 1374 . Nankai Institute of Mathematics, Tianjin, P.R. China ; v. 6）

Springer-Verlag, c1989

• : gw
• : us

Note

Bibliography: p. [103]-106

Includes index

"Subseries: Nankai Institute of Mathematics, Tianjin, P.R. China ; vol. 6"--T.p

Description and Table of Contents

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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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

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.

by "Nielsen BookData"

Details

• NCID: BA06918954
• ISBN:
  • 3540511482
  • 0387511482
• LCCN: 89011267
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; Tokyo
• Pages/Volumes: vi, 108 p.
• Size: 25 cm
• Classification:
  • LCC : QA3
  • LCC : QA613.2
  • DC20 : 510 s
  • DC20 : 514/.223
  • NDC8 : 410.8
• Subject Headings:
  • LCSH : Four-manifolds (Topology)
• Parent Bibliography ID:
  • BA00146586