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| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA613 | QA613. FCT 96142 (Browse shelf) | 1 | Available |
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| QA612.7.SPR FCT 82773 Stable homotopy around the Arf-Kervaire invariant | QA613 | QA316.SPR FCT 82109 Variational inequalities and frictional contact problems | QA613 | QA613. FCT 95775 An introduction to manifolds | QA613 | QA613. FCT 96142 Diffeomorphisms of elliptic 3-manifolds | QA613 | QA613. FCT 96189 The geometry of Minkowski spacetime | QA613 | QA613. FCT 96210 Differentiable manifolds | QA613 | QA613. FCT 97300 Topology and geometric group theory |
Colocação: Online
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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