The topology of 4-manifolds
著者
書誌事項
The topology of 4-manifolds
（Lecture notes in mathematics, 1374 . Nankai Institute of Mathematics,
Springer-Verlag, c1989
- : gw
- : us
大学図書館所蔵 全92件
注記
Bibliography: p. [103]-106
Includes index
"Subseries: Nankai Institute of Mathematics, Tianjin, P.R. China ; vol. 6"--T.p
内容説明・目次
内容説明
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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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.
目次
- 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.
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