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Beskrivning
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. There is a new proof of Rohlin's theorem using spin structures.
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.