Surgery on simply-connected manifolds. (Perestrojki odnosvyaznykh mnogoobrazij). Transl. from the English by Yu. B. Rudyak. Transl. ed. by A. S. Mishchenko. (Russian) Zbl 0543.57003

Browder, William

Moskva: “Nauka”, Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 208 p. R. 1.10 (1984).

See the review of the English original (1972) in Zbl 0239.57016.

MSC:

57-02	Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes
57R65	Surgery and handlebodies
57R55	Differentiable structures in differential topology
57R10	Smoothing in differential topology
57R60	Homotopy spheres, Poincaré conjecture
57R75	\(\mathrm{O}\)- and \(\mathrm{SO}\)-cobordism
57P10	Poincaré duality spaces
55R25	Sphere bundles and vector bundles in algebraic topology
55P25	Spanier-Whitehead duality

Keywords:

surgery on simply-connected manifolds; 239.57016; signature of 4k- manifolds; intersection form of middle dimensional homology; Arf invariant; Poincaré duality spaces; Spivak normal bundle of a spherical fibration; exact surgery sequence; Spanier-Whitehead duality; plumbing of sphere bundles; classification of simply connected differentiable manifolds within a homotopy type; homotopy spheres

Citations:

Zbl 0239.57016