Surgery on Simply-connected Manifolds |
Contents
Poincaré Duality | 1 |
The Main Results of Surgery | 30 |
12 | 40 |
Copyright | |
8 other sections not shown
Other editions - View all
Common terms and phrases
1-connected A₁ A₂ Arf invariant b₁ b₂ bilinear form bundle map cap product chain complex chain map coefficients cohomology collapsing map commutative diagram Corollary D₁ defines a normal diagonal Dm+k Dn+k E₁ embedding exact sequence f₁ fibre homotopy equivalence finite follows ƒ₁ h-cobordism H₁(M Hª(B Hª(X Hence homeomorphism homology homotopy classes homotopy equivalence homotopy type inclusion induced intersection isomorphism k-plane bundle K₁(M Kª(X Lemma Let f M₁ manifold with boundary map f map of degree morphism N₁ N₂ non-singular normal bundle normal fibre space normal map normal surgery normally cobordant rel orientation class orthogonal pair of dimension plumbing Poincaré duality Poincaré pair Proof Proposition quadratic form result S-dual smooth manifold spherical fibre space Spivak normal fibre subspace Suppose Theorem Thom class torsion trivial V₁ X₁ Y₁ Y₂ Z₂ ε¹ Σ³