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The Topology of 4-Manifolds

Af: Robion C. Kirby Engelsk Paperback

The Topology of 4-Manifolds

Af: Robion C. Kirby Engelsk Paperback
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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 There is an introduction to Casson handles and Freedman''s work including a chapter of unpublished proofs on exotic R4''s. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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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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 There is an introduction to Casson handles and Freedman''s work including a chapter of unpublished proofs on exotic R4''s. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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.
Produktdetaljer
Sprog: Engelsk
Sider: 112
ISBN-13: 9783540511489
Indbinding: Paperback
Udgave:
ISBN-10: 3540511482
Kategori: Topologi
Udg. Dato: 10 maj 1989
Længde: 11mm
Bredde: 234mm
Højde: 158mm
Forlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Oplagsdato: 10 maj 1989
Forfatter(e): Robion C. Kirby
Forfatter(e) Robion C. Kirby


Kategori Topologi


ISBN-13 9783540511489


Sprog Engelsk


Indbinding Paperback


Sider 112


Udgave


Længde 11mm


Bredde 234mm


Højde 158mm


Udg. Dato 10 maj 1989


Oplagsdato 10 maj 1989


Forlag Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Kategori sammenhænge