LEADER 03191nam 2200589Ia 450 001 9910483671403321 005 20200520144314.0 010 $a3-642-31564-X 024 7 $a10.1007/978-3-642-31564-0 035 $a(CKB)3400000000085874 035 $a(SSID)ssj0000745912 035 $a(PQKBManifestationID)11434884 035 $a(PQKBTitleCode)TC0000745912 035 $a(PQKBWorkID)10877287 035 $a(PQKB)10159441 035 $a(DE-He213)978-3-642-31564-0 035 $a(MiAaPQ)EBC3070499 035 $a(PPN)165115408 035 $a(EXLCZ)993400000000085874 100 $a20120702d2012 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aDiffeomorphisms of elliptic 3-manifolds /$fSungbok Hong ... [et al.] 205 $a1st ed. 2012. 210 $aBerlin ;$aHeidelberg $cSpringer Verlag$d2012 215 $a1 online resource (X, 155 p. 22 illus.) 225 1 $aLecture notes in mathematics ;$v2055 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-31563-1 320 $aIncludes bibliographical references (p. 145-147) and index. 327 $a1 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. 330 $aThis work concerns the diffeomorphism groups of 3-manifolds, in particular of elliptic 3-manifolds. These are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature, now known to be exactly the closed 3-manifolds that have a finite fundamental group. The (Generalized) Smale Conjecture asserts that for any elliptic 3-manifold M, the inclusion from the isometry group of M to its diffeomorphism group is a homotopy equivalence. The original Smale Conjecture, for the 3-sphere, was proven by J. Cerf and A. Hatcher, and N. Ivanov proved the generalized conjecture for many of the elliptic 3-manifolds that contain a geometrically incompressible Klein bottle. The main results establish the Smale Conjecture for all elliptic 3-manifolds containing geometrically incompressible Klein bottles, and for all lens spaces L(m,q) with m at least 3. Additional results imply that for a Haken Seifert-fibered 3 manifold V, the space of Seifert fiberings has contractible components, and apart from a small list of known exceptions, is contractible. Considerable foundational and background material on diffeomorphism groups is included. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v2055. 606 $aDiffeomorphisms 606 $aThree-manifolds (Topology) 615 0$aDiffeomorphisms. 615 0$aThree-manifolds (Topology) 676 $a514.34 700 $aHong$b Sungbok$0477686 701 $aKalliongis$b John$0518035 701 $aMcCullough$b Darryl$f1951-$01614812 701 $aRubinstein$b Joachim Hyam$01759992 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483671403321 996 $aDiffeomorphisms of elliptic 3-manifolds$94198711 997 $aUNINA