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Diffeomorphisms of Elliptic 3-Manifolds by Sungbok Hong at Abbey's Bookshop,
Diffeomorphisms of Elliptic 3-Manifolds
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Sungbok Hong John Kalliongis

Diffeomorphisms of Elliptic 3-Manifolds

Sungbok Hong,  John Kalliongis,  Darryl McCullough ,  J. Hyam Rubinstein

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English
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
28 August 2012
Analytic geometry; Analytic topology
Series: Lecture Notes in Mathematics
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
By:   , , ,
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication:   Germany
Edition:   2012 ed.
Volume:   2055
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 9mm
Weight:   454g
ISBN:   9783642315633
ISBN 10:   3642315631
Series:   Lecture Notes in Mathematics
Pages:   155
Publication Date:  
Audience:   College/higher education ,  Further / Higher Education
Format:   Paperback
Publisher's Status:   Active

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