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Wave Propagation and Time Reversal in Randomly Layered Media (Lecture Notes in Mathematics) - Softcover

 
9780387511481: Wave Propagation and Time Reversal in Randomly Layered Media (Lecture Notes in Mathematics)

Synopsis

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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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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  • PublisherSpringer
  • Publication date2008
  • ISBN 10 0387511482
  • ISBN 13 9780387511481
  • BindingPaperback
  • LanguageEnglish
  • Number of pages636

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