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

The Topology of 4-Manifolds

Authors: Kirby, Robion C.

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About this book

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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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

Table of contents (15 chapters)

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-540-46171-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA
  • ISBN 978-3-540-51148-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Topology of 4-Manifolds
Authors
Series Title
Nankai Institute of Mathematics, Tianjin, P.R. China
Series Volume
1374
Copyright
1989
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-46171-5
DOI
10.1007/BFb0089031
Softcover ISBN
978-3-540-51148-9
Edition Number
1
Number of Pages
VIII, 112
Topics