The Resource Diffeomorphisms of Elliptic 3-Manifolds, by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein, (electronic resource)

Diffeomorphisms of Elliptic 3-Manifolds, by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein, (electronic resource)

Label
Diffeomorphisms of Elliptic 3-Manifolds
Title
Diffeomorphisms of Elliptic 3-Manifolds
Statement of responsibility
by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
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 material on diffeomorphism groups is included
Member of
http://library.link/vocab/creatorName
Hong, Sungbok
Dewey number
514.34
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • 6eoKhXPw-Ds
  • xncD6KeLKek
  • G70Fpu0smdI
  • Bw5XbnyDNGA
Image bit depth
0
Language note
English
LC call number
  • QA613-613.8
  • QA613.6-613.66
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Kalliongis, John.
  • McCullough, Darryl.
  • Rubinstein, J. Hyam.
Series statement
Lecture Notes in Mathematics,
Series volume
2055
http://library.link/vocab/subjectName
  • Cell aggregation
  • Manifolds and Cell Complexes (incl. Diff.Topology)
Label
Diffeomorphisms of Elliptic 3-Manifolds, by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references (p. 145-147) and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
1 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
Dimensions
unknown
Edition
1st ed. 2012.
Extent
1 online resource (X, 155 p. 22 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783642315640
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-31564-0
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000085874
  • (SSID)ssj0000745912
  • (PQKBManifestationID)11434884
  • (PQKBTitleCode)TC0000745912
  • (PQKBWorkID)10877287
  • (PQKB)10159441
  • (DE-He213)978-3-642-31564-0
  • (MiAaPQ)EBC3070499
  • (EXLCZ)993400000000085874
Label
Diffeomorphisms of Elliptic 3-Manifolds, by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references (p. 145-147) and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
1 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
Dimensions
unknown
Edition
1st ed. 2012.
Extent
1 online resource (X, 155 p. 22 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783642315640
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-31564-0
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000085874
  • (SSID)ssj0000745912
  • (PQKBManifestationID)11434884
  • (PQKBTitleCode)TC0000745912
  • (PQKBWorkID)10877287
  • (PQKB)10159441
  • (DE-He213)978-3-642-31564-0
  • (MiAaPQ)EBC3070499
  • (EXLCZ)993400000000085874

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