LEADER 03594nam 22005775 450 001 996466475203316 005 20200704035443.0 010 $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 $a20120828d2012 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aDiffeomorphisms of Elliptic 3-Manifolds$b[electronic resource] /$fby Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein 205 $a1st ed. 2012. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2012. 215 $a1 online resource (X, 155 p. 22 illus.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$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,$x0075-8434 ;$v2055 606 $aManifolds (Mathematics) 606 $aComplex manifolds 606 $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027 615 0$aManifolds (Mathematics). 615 0$aComplex manifolds. 615 14$aManifolds and Cell Complexes (incl. Diff.Topology). 676 $a514.34 700 $aHong$b Sungbok$4aut$4http://id.loc.gov/vocabulary/relators/aut$0477686 702 $aKalliongis$b John$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aMcCullough$b Darryl$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aRubinstein$b J. Hyam$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a996466475203316 996 $aDiffeomorphisms of elliptic 3-manifolds$9241172 997 $aUNISA