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The Topology of 4-Manifolds (Lecture Notes in Mathematics, 1374, Band 1374) - Softcover

Kirby, Robion C.

 
9783540511489: The Topology of 4-Manifolds (Lecture Notes in Mathematics, 1374, Band 1374)
Softcover
ISBN 10: 3540511482 ISBN 13: 9783540511489
Verlag: Springer, 2009

Inhaltsangabe

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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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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Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540511482
ISBN 13 
9783540511489
Einband
Taschenbuch
Anzahl der Seiten
120
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