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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Surgery on Poincaré complexes


Author: J. P. E. Hodgson
Journal: Trans. Amer. Math. Soc. 285 (1984), 685-701
MSC: Primary 57P10; Secondary 57Q65, 57R65
MathSciNet review: 752498
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1984-0752498-2
PII: S 0002-9947(1984)0752498-2
Keywords: Poincaré duality space, normal map, surgery obstruction
Article copyright: © Copyright 1984 American Mathematical Society