The Topology of 4-Manifolds

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 pro...

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Détails bibliographiques
Auteur principal: Kirby, Robion C., 1938-
Format: Livre numérique
Langue:Anglais
Publié: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Collection:Lecture notes in mathematics 1374
Sujets:
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Note: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• The Topology of 4-Manifolds, Texte imprimé, 9783540511489
• The Topology of 4-Manifolds, Texte imprimé, 9783662162743
Table des matières:
  • 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.