000 03129nam a22005055i 4500
001 978-3-642-31564-0
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007 cr nn 008mamaa
008 120828s2012 gw | s |||| 0|eng d
020 _a9783642315640
_9978-3-642-31564-0
024 7 _a10.1007/978-3-642-31564-0
_2doi
050 4 _aQA613-613.8
050 4 _aQA613.6-613.66
072 7 _aPBMS
_2bicssc
072 7 _aPBPH
_2bicssc
072 7 _aMAT038000
_2bisacsh
082 0 4 _a514.34
_223
100 1 _aHong, Sungbok.
_eauthor.
245 1 0 _aDiffeomorphisms of Elliptic 3-Manifolds
_h[electronic resource] /
_cby Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2012.
300 _aX, 155 p. 22 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2055
505 0 _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.
520 _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.
650 0 _aMathematics.
650 0 _aCell aggregation
_xMathematics.
650 1 4 _aMathematics.
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
700 1 _aKalliongis, John.
_eauthor.
700 1 _aMcCullough, Darryl.
_eauthor.
700 1 _aRubinstein, J. Hyam.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642315633
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2055
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-31564-0
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c103380
_d103380