Cobordism Massey products

Alexander, J. C.

doi:10.1090/S0002-9947-1972-0293623-1

Cobordism Massey products
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by J. C. Alexander PDF

Trans. Amer. Math. Soc. 166 (1972), 197-214 Request permission

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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