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

Fouque, Jean-Pierre; Garnier, J.; Papanicolaou, G.

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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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

"synopsis" may belong to another edition of this title.