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When is a fourfold Massey product defined?


Author: Daniel C. Isaksen
Journal: Proc. Amer. Math. Soc. 143 (2015), 2235-2239
MSC (2010): Primary 55S30, 55S10
DOI: https://doi.org/10.1090/S0002-9939-2014-12387-2
Published electronically: December 8, 2014
MathSciNet review: 3314129
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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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Additional Information

Daniel C. Isaksen
Affiliation: Department of Mathematics, Wayne State University, Detroit, Michigan 48202
Email: isaksen@math.wayne.edu

DOI: https://doi.org/10.1090/S0002-9939-2014-12387-2
Keywords: Massey product, cohomology of the Steenrod algebra
Received by editor(s): October 11, 2013
Published electronically: December 8, 2014
Additional Notes: The author was supported by NSF grant DMS-1202213
Communicated by: Michael A. Mandell
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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