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Equivariant Surgery and Classification of Finite Group Actions on Manifolds.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1988Copyright date: ©1988Edition: 1st edDescription: 1 online resource (132 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470407995
Subject(s): Genre/Form: Additional physical formats: Print version:: Equivariant Surgery and Classification of Finite Group Actions on ManifoldsDDC classification:
  • 514
LOC classification:
  • QA3 -- .D684 1988eb
Online resources:
Contents:
Intro -- Table of Contents -- 0. Statement of Results -- 1. Discrete invariants of a G manifold (G Posets) -- 2. Equivariant finiteness obstructions -- 3. Bundle data, ambient maps, cobordism, and the surgery sequence -- 4. Equivariant surgery and normal cobordism -- 5. Surgery below the middle dimension, simple G homotopy theory and simple G surgery theory -- a) Simple G homotopy type -- b) Surgery below the middle dimension -- c) Simple normal maps and Poincaré Duality -- 6. Surgery in the middle dimension and the Π…Π theorem -- 7. Addition of equivariant surgery obstructions -- 8. The exact surgery sequence -- 9. Computations of equivariant surgery obstruction groups -- 10. Rational surgery obstructions -- 11. Classification of group actions on disks -- 12. Closed manifolds which are not G homotopy equivalent to finite G CW-complexes.
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Intro -- Table of Contents -- 0. Statement of Results -- 1. Discrete invariants of a G manifold (G Posets) -- 2. Equivariant finiteness obstructions -- 3. Bundle data, ambient maps, cobordism, and the surgery sequence -- 4. Equivariant surgery and normal cobordism -- 5. Surgery below the middle dimension, simple G homotopy theory and simple G surgery theory -- a) Simple G homotopy type -- b) Surgery below the middle dimension -- c) Simple normal maps and Poincaré Duality -- 6. Surgery in the middle dimension and the Π…Π theorem -- 7. Addition of equivariant surgery obstructions -- 8. The exact surgery sequence -- 9. Computations of equivariant surgery obstruction groups -- 10. Rational surgery obstructions -- 11. Classification of group actions on disks -- 12. Closed manifolds which are not G homotopy equivalent to finite G CW-complexes.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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