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130626 ||| eng |
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|a 9783642315640
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| 100 |
1 |
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|a Hong, Sungbok
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| 245 |
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|a Diffeomorphisms of Elliptic 3-Manifolds
|h Elektronische Ressource
|c by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
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| 250 |
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|a 1st ed. 2012
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2012, 2012
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| 300 |
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|a X, 155 p. 22 illus
|b online resource
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| 505 |
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|a 1 Elliptic 3-manifolds and the Smale Conjecture -- 2 Diffeomorphisms and Embeddings of Manifolds -- 3 The Method of Cerf and Palais -- 4 Elliptic 3-manifolds Containing One-sided Klein Bottles -- 5 Lens Spaces
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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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| 700 |
1 |
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|a Kalliongis, John
|e [author]
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| 700 |
1 |
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|a McCullough, Darryl
|e [author]
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| 700 |
1 |
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|a Rubinstein, J. Hyam
|e [author]
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
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|a Lecture Notes in Mathematics
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| 028 |
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|a 10.1007/978-3-642-31564-0
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-642-31564-0?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 514.34
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| 520 |
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|a This work concerns the diffeomorphism groups of 3-manifolds, in particular of elliptic 3-manifolds. These are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature, now known to be exactly the closed 3-manifolds that have a finite fundamental group. The (Generalized) Smale Conjecture asserts that for any elliptic 3-manifold M, the inclusion from the isometry group of M to its diffeomorphism group is a homotopy equivalence. The original Smale Conjecture, for the 3-sphere, was proven by J. Cerf and A. Hatcher, and N. Ivanov proved the generalized conjecture for many of the elliptic 3-manifolds that contain a geometrically incompressible Klein bottle. The main results establish the Smale Conjecture for all elliptic 3-manifolds containing geometrically incompressible Klein bottles, and for all lens spaces L(m,q) with m at least 3. Additional results imply that for a Haken Seifert-fibered 3 manifold V, the space of Seifert fiberings has contractible components, and apart from a small list of known exceptions, is contractible. Considerable foundational and background material on diffeomorphism groups is included
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