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Seifert Fiberings
About this Title
Kyung Bai Lee, University of Oklahoma, Norman, OK and Frank Raymond, University of Michigan, Ann Arbor, MI
Publication: Mathematical Surveys and Monographs
Publication Year:
2010; Volume 166
ISBNs: 978-0-8218-5231-6 (print); 978-1-4704-1393-4 (online)
DOI: https://doi.org/10.1090/surv/166
MathSciNet review: MR2731766
MSC: Primary 57M60; Secondary 55R55, 57S30
Table of Contents
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Front/Back Matter
Chapters
- 1. Transformation groups
- 2. Group actions and the fundamental group
- 3. Actions of compact Lie groups on manifolds
- 4. Definition of Seifert fibering
- 5. Group cohomology
- 6. Lie groups
- 7. Seifert fiber space construction for $G\times W$
- 8. Generalization of Bieberbach’s theorems
- 9. Seifert manifolds with $\Gamma \setminus G/K$-fiber
- 10. Locally injective Seifert fiberings with torus fibers
- 11. Applications
- 12. Seifert fiberings with compact connected $Q$
- 13. Deformation spaces
- 14. $S^1$-actions on 3-dimensional manifolds
- 15. Classification of Seifert 3-manifolds via equivariant cohomology