03191nam 2200589Ia 450 991048367140332120200520144314.03-642-31564-X10.1007/978-3-642-31564-0(CKB)3400000000085874(SSID)ssj0000745912(PQKBManifestationID)11434884(PQKBTitleCode)TC0000745912(PQKBWorkID)10877287(PQKB)10159441(DE-He213)978-3-642-31564-0(MiAaPQ)EBC3070499(PPN)165115408(EXLCZ)99340000000008587420120702d2012 uy 0engurnn|008mamaatxtccrDiffeomorphisms of elliptic 3-manifolds /Sungbok Hong ... [et al.]1st ed. 2012.Berlin ;Heidelberg Springer Verlag20121 online resource (X, 155 p. 22 illus.) Lecture notes in mathematics ;2055Bibliographic Level Mode of Issuance: Monograph3-642-31563-1 Includes bibliographical references (p. 145-147) and index.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.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.Lecture notes in mathematics (Springer-Verlag) ;2055.DiffeomorphismsThree-manifolds (Topology)Diffeomorphisms.Three-manifolds (Topology)514.34Hong Sungbok477686Kalliongis John518035McCullough Darryl1951-1614812Rubinstein Joachim Hyam1759992MiAaPQMiAaPQMiAaPQBOOK9910483671403321Diffeomorphisms of elliptic 3-manifolds4198711UNINA