The Topology of 4-Manifolds (Lecture Notes in Mathematics)

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9783540511489: The Topology of 4-Manifolds (Lecture Notes in Mathematics)

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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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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Book Description Springer. Paperback. Book Condition: New. Paperback. 112 pages. Dimensions: 9.1in. x 6.1in. x 0.6in.This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, Walls diffeomorphisms and h-cobordism, and Rohlins 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 Rohlins theorem using spin structures. There is an introduction to Casson handles and Freedmans work including a chapter of unpublished proofs on exotic R4s. 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9783540511489

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Book Description Springer-Verlag Berlin and Heidelberg GmbH Co. KG, Germany, 1991. Paperback. Book Condition: New. 1st ed. 1989. 2nd printing 1991. Language: English . Brand New Book ***** Print on Demand *****.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. Bookseller Inventory # AAV9783540511489

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