The Topology of 4-Manifolds

di Robion C. Kirby (Autore)

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 1989

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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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

• Autore: Robion C. Kirby
• Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Collana: Nankai Institute of Mathematics, Tianjin, P.R. China
• Anno: 1989
• Rilegatura: Paperback / softback
• Pagine: 112 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783540511489

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