Equivariant Surgery and Classification of Finite Group Actions on Manifolds.
Dovermann, Karl Heinz.
Equivariant Surgery and Classification of Finite Group Actions on Manifolds. - 1st ed. - 1 online resource (132 pages) - Memoirs of the American Mathematical Society ; v.71 . - Memoirs of the American Mathematical Society .
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.
9781470407995
Topological transformation groups.
Surgery (Topology).
Cobordism theory.
Electronic books.
QA3 -- .D684 1988eb
514
Equivariant Surgery and Classification of Finite Group Actions on Manifolds. - 1st ed. - 1 online resource (132 pages) - Memoirs of the American Mathematical Society ; v.71 . - Memoirs of the American Mathematical Society .
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.
9781470407995
Topological transformation groups.
Surgery (Topology).
Cobordism theory.
Electronic books.
QA3 -- .D684 1988eb
514