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


Cobordism Massey products

Author: J. C. Alexander
Journal: Trans. Amer. Math. Soc. 166 (1972), 197-214
MSC: Primary 55G30
MathSciNet review: 0293623
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Abstract: The structure of Massey products is introduced into the bordism ring $ {\Omega ^S}$ of manifolds with structure S and machinery is developed to investigate it. The product is changed to one in homotopy via the Pontrjagin-Thom map and methods for computation via the Adams spectral sequence are developed. To illustrate the methods, some products in $ {\Omega ^{SU}}$ and $ {\Omega ^{Sp}}$ are computed.

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PII: S 0002-9947(1972)0293623-1
Keywords: Cobordism, Massey product, manifolds, Pontrjagin-Thom map, Adams spectral sequence
Article copyright: © Copyright 1972 American Mathematical Society

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