Diffeomorphisms of elliptic 3manifolds
 Responsibility
 Sungbok Hong ... [et al.].
 Language
 English.
 Imprint
 Heidelberg ; New York : Springer Verlag, c2012.
 Physical description
 x, 155 p. : ill. ; 23 cm.
 Series
 Lecture notes in mathematics (SpringerVerlag) 2055.
Access
Creators/Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 145147) and index.
 Contents

 1 Elliptic 3manifolds and the Smale Conjecture. 2 Diffeomorphisms and Embeddings of Manifolds. 3 The Method of Cerf and Palais. 4 Elliptic 3manifolds Containing Onesided Klein Bottles. 5 Lens Spaces.
 (source: Nielsen Book Data)
 Publisher's Summary
 This work concerns the diffeomorphism groups of 3manifolds, in particular of elliptic 3manifolds. These are the closed 3manifolds that admit a Riemannian metric of constant positive curvature, now known to be exactly the closed 3manifolds that have a finite fundamental group. The (Generalized) Smale Conjecture asserts that for any elliptic 3manifold M, the inclusion from the isometry group of M to its diffeomorphism group is a homotopy equivalence. The original Smale Conjecture, for the 3sphere, was proven by J. Cerf and A. Hatcher, and N. Ivanov proved the generalized conjecture for many of the elliptic 3manifolds that contain a geometrically incompressible Klein bottle. The main results establish the Smale Conjecture for all elliptic 3manifolds 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 Seifertfibered 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2012
 Series
 Lecture notes in mathematics ; 2055
 Note
 Additional authors: John Kalliongis, Darryl McCullough, J. Hyam Rubinstein.
 ISBN
 9783642315633
 3642315631
 364231564X
 9783642315640