Surgery on Poincaré complexes

Hodgson, J. P. E.

doi:10.1090/S0002-9947-1984-0752498-2

Surgery on Poincaré complexes
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by J. P. E. Hodgson PDF

Trans. Amer. Math. Soc. 285 (1984), 685-701 Request permission

Abstract:

A geometric approach to surgery on Poincaré complexes is described. The procedure mimics the original techniques for manifolds. It is shown that the obstructions to surgering a degree-one normal map of Poincaré complexes to a homotopy equivalence lie in the Wall groups, and that all elements in these groups can arise as obstructions.

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