Details

Subject(s)

• Dimensional analysis [Browse]

Series

• Lecture notes in mathematics (Berlin) ; Volume 1374. [More in this series]
• Lecture Notes in Mathematics ; Volume 1374

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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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

Notes

Bibliographic Level Mode of Issuance: Monograph

Source of description

Description based on print version record.

Language note

English

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.

Show 11 more Contents items

ISBN

3-540-46171-X

OCLC

1066185838

Doi

• 10.1007/BFb0089031

Statement on language in description

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