ENGLISH

The Topology of 4-Manifolds

By Robion C. Kirby

Book information

Publisher
Springer-Verlag
Year
1989
ISBN
9780387511481, 0-387-51148-2
LCC
QA3 .L28 no. 1374,QA613.2 .L28 no. 1374
Open Library ID
OL2192453M
Language
english
Format
DJVU
Filesize
991 kB (1015197 bytes)
Series
Lecture notes in mathematics 1374
Pages
123\123
Library
mexmat
Time added
2009-07-20 03:45:11

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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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

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