When is a fourfold Massey product defined?

Isaksen, Daniel

doi:10.1090/S0002-9939-2014-12387-2

When is a fourfold Massey product defined?
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by Daniel C. Isaksen

Proc. Amer. Math. Soc. 143 (2015), 2235-2239

DOI: https://doi.org/10.1090/S0002-9939-2014-12387-2

Published electronically: December 8, 2014

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Abstract:

We define a new invariant in the homology of a differential graded algebra. This invariant is the obstruction to defining a fourfold Massey product. It can be used to detect differential graded algebras that are not quasi-isomorphic. We also make an explicit calculation in the cohomology of the Steenrod algebra.

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