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The Topology of 4-Manifolds
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Catalogue Information
Field name
Details
Dewey Class
514.34
Title
The Topology of 4-Manifolds ([EBook]) / by Robion C. Kirby.
Author
Kirby, Robion C. , 1938-
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1989.
Physical Details
VIII, 112 pages : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 1374
ISBN
9783540461715
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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0089031
Links to Related Works
Subject References:
Complex manifolds
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Manifolds and Cell Complexes (incl. Diff.Topology)
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Manifolds (Mathematics)
.
Mathematics
.
Authors:
Kirby, Robion C. 1938-
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Kirby, Robion C., 1938-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
514.34
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