The Resource Seifert fiberings, Kyung Bai Lee, Frank Raymond

Seifert fiberings, Kyung Bai Lee, Frank Raymond

Label
Seifert fiberings
Title
Seifert fiberings
Statement of responsibility
Kyung Bai Lee, Frank Raymond
Creator
Contributor
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1943-
http://library.link/vocab/creatorName
Lee, Kyung Bai
Index
index present
LC call number
QA612.6
LC item number
.L44 2010
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1932-
http://library.link/vocab/relatedWorkOrContributorName
Raymond, Frank
Series statement
Mathematical surveys and monographs
Series volume
v. 166
http://library.link/vocab/subjectName
  • Fiberings (Mathematics)
  • Complex manifolds
  • Complex manifolds
  • Fiberings (Mathematics)
Label
Seifert fiberings, Kyung Bai Lee, Frank Raymond
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 383-392) and index
Contents
1. Transformation Groups -- 1.1. Introduction -- 1.2. (Locally) Proper G-spaces -- 1.3. Fiber bundles -- 1.4. Classifying spaces -- 1.5. Borel spaces and classifying spaces -- 1.6. Tubular neighborhoods and slices -- 1.7. Existence of slices -- 1.8. Cohomology manifolds and the Smith theorems -- 1.9. Actions of G. II (G Lie group, II discrete) -- 2. Group Actions and the Fundamental Group -- 2.1. Covering spaces -- 2.2. Lifting group actions to covering spaces -- 2.3. Lifting an action of G when G has a fixed point -- 2.4. Evaluation homomorphism -- 2.5. Lifting connected group actions -- 2.6. Example (Semi-free S1-actions on 3-manifolds) -- 2.7. Lifting the slice representation -- 2.8. Locally injective actions -- 3. Actions of Compact Lie Groups on Manifolds -- 3.1. Actions of compact Lie groups on aspherical manifolds -- 3.2. Actions of compact Lie groups on admissible manifolds -- 3.3. Compact Lie group actions on spaces which map into K(T, 1) -- 3.4. Manifolds with few or no periodic homeomorphisms -- 3.5. Injective torus actions -- 4. Definition of Seifert Fibering -- 4.1. Examples -- 4.2. TOPg(P), the group of weak G-equivalences -- 4.3. Seifert fiberings modeled on a principal G-bundle -- 4.4. Topology and geometry of the fibers -- 4.5. Examples with II discrete -- 4.6. Seifert Construction -- 5. Group Cohomology -- 5.1. Introduction -- 5.2. Group extensions -- 5.3. Pullback and pushout of short exact sequences -- 5.4. Extensions with Abelian kernel A and H2(Q; A) -- 5.5. Central extensions -- 5.6. Extensions with non-Abelian kernel G and H2(Q;Z(G)) -- 5.7. H1(Q;C) with a non-Abelian C -- 6. Lie Groups -- 6.1. Introduction -- 6.2. Nilpotent Lie groups -- 6.3. Solvable Lie groups -- 6.4. Semisimple Lie groups -- 7. Seifert Fiber Space Construction for G x W -- 7.1. Introduction -- 7.2. Cohomological criteria -- 7.3. Main Construction Theorem for TOPG(G × W) -- 7.4. Meaning of existence, uniqueness and rigidity -- 7.5. Hp(Q;M(W, Rk)) = 0, p > 0 -- 7.6. Proof of the Construction Theorem -- 7.7. When is θ injective? -- 7.8. Smooth case -- 8. Generalization of Bieberbach's Theorems -- 8.1. Bieberbach's theorems -- 8.2. Proof of Bieberbach's theorems
Dimensions
26 cm.
Extent
xx, 396 p.
Isbn
9780821852316
Isbn Type
(hc : alk. paper)
Lccn
2010022528
System control number
  • (OCoLC)642351468
  • (OCoLC)ocn642351468
Label
Seifert fiberings, Kyung Bai Lee, Frank Raymond
Publication
Bibliography note
Includes bibliographical references (p. 383-392) and index
Contents
1. Transformation Groups -- 1.1. Introduction -- 1.2. (Locally) Proper G-spaces -- 1.3. Fiber bundles -- 1.4. Classifying spaces -- 1.5. Borel spaces and classifying spaces -- 1.6. Tubular neighborhoods and slices -- 1.7. Existence of slices -- 1.8. Cohomology manifolds and the Smith theorems -- 1.9. Actions of G. II (G Lie group, II discrete) -- 2. Group Actions and the Fundamental Group -- 2.1. Covering spaces -- 2.2. Lifting group actions to covering spaces -- 2.3. Lifting an action of G when G has a fixed point -- 2.4. Evaluation homomorphism -- 2.5. Lifting connected group actions -- 2.6. Example (Semi-free S1-actions on 3-manifolds) -- 2.7. Lifting the slice representation -- 2.8. Locally injective actions -- 3. Actions of Compact Lie Groups on Manifolds -- 3.1. Actions of compact Lie groups on aspherical manifolds -- 3.2. Actions of compact Lie groups on admissible manifolds -- 3.3. Compact Lie group actions on spaces which map into K(T, 1) -- 3.4. Manifolds with few or no periodic homeomorphisms -- 3.5. Injective torus actions -- 4. Definition of Seifert Fibering -- 4.1. Examples -- 4.2. TOPg(P), the group of weak G-equivalences -- 4.3. Seifert fiberings modeled on a principal G-bundle -- 4.4. Topology and geometry of the fibers -- 4.5. Examples with II discrete -- 4.6. Seifert Construction -- 5. Group Cohomology -- 5.1. Introduction -- 5.2. Group extensions -- 5.3. Pullback and pushout of short exact sequences -- 5.4. Extensions with Abelian kernel A and H2(Q; A) -- 5.5. Central extensions -- 5.6. Extensions with non-Abelian kernel G and H2(Q;Z(G)) -- 5.7. H1(Q;C) with a non-Abelian C -- 6. Lie Groups -- 6.1. Introduction -- 6.2. Nilpotent Lie groups -- 6.3. Solvable Lie groups -- 6.4. Semisimple Lie groups -- 7. Seifert Fiber Space Construction for G x W -- 7.1. Introduction -- 7.2. Cohomological criteria -- 7.3. Main Construction Theorem for TOPG(G × W) -- 7.4. Meaning of existence, uniqueness and rigidity -- 7.5. Hp(Q;M(W, Rk)) = 0, p > 0 -- 7.6. Proof of the Construction Theorem -- 7.7. When is θ injective? -- 7.8. Smooth case -- 8. Generalization of Bieberbach's Theorems -- 8.1. Bieberbach's theorems -- 8.2. Proof of Bieberbach's theorems
Dimensions
26 cm.
Extent
xx, 396 p.
Isbn
9780821852316
Isbn Type
(hc : alk. paper)
Lccn
2010022528
System control number
  • (OCoLC)642351468
  • (OCoLC)ocn642351468

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