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140122 ||| eng |
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|a 9783540461715
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| 100 |
1 |
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|a Kirby, Robion C.
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| 245 |
0 |
0 |
|a The Topology of 4-Manifolds
|h Elektronische Ressource
|c by Robion C. Kirby
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| 250 |
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|a 1st ed. 1989
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1989, 1989
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| 300 |
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|a VIII, 112 p
|b online resource
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| 505 |
0 |
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|a 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
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| 653 |
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|a Manifolds and Cell Complexes
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| 653 |
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|a Manifolds (Mathematics)
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
0 |
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|a Nankai Institute of Mathematics, Tianjin, P.R. China
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| 028 |
5 |
0 |
|a 10.1007/BFb0089031
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| 856 |
4 |
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|u https://doi.org/10.1007/BFb0089031?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 514.34
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| 520 |
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|a 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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