The Topology of 4-Manifolds / by Robion C. Kirby.

Format:

Book

Author/Creator:

Kirby, Robion C., 1938- author.

Contributor:

SpringerLink (Online service)

Series:

Nankai Institute of Mathematics, Tianjin, P.R. China ; 1374.

Nankai Institute of Mathematics, Tianjin, P.R. China ; 1374

Language:

English

Subjects (All):

Cell aggregation--Mathematics.

Cell aggregation.

Manifolds and Cell Complexes (incl. Diff.Topology).

Local Subjects:

Manifolds and Cell Complexes (incl. Diff.Topology).

Physical Description:

1 online resource (VIII, 112 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989.

System Details:

text file PDF

Summary:

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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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

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.

Other Format:

Printed edition:

ISBN:

9783540461715

Access Restriction:

Restricted for use by site license.