Symmetric Massey products and a Hirsch formula in homology

Kochman, Stanley O.

doi:10.1090/S0002-9947-1972-0331388-5

Symmetric Massey products and a Hirsch formula in homology
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Trans. Amer. Math. Soc. 163 (1972), 245-260 Request permission

Abstract:

A Hirsch formula is proved for the singular chains of a second loop space and is applied to show that the symmetric Massey produce ${\langle x\rangle ^p}$ is defined for $x$ an odd dimensional $\bmod p$ homology class of a second loop space with $p$ an odd prime. ${\langle x\rangle ^p}$ is then interpreted in terms of the Dyer-Lashof and Browder operations.

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