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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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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 . Manifolds and Cell Complexes (incl. Diff.Topology) . Manifolds (Mathematics) . Mathematics . Authors: Kirby, Robion C. 1938- . Kirby, Robion C., 1938- . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 514.34 .

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The Topology of 4-Manifolds

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