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arXiv · 1207.3461

DG algebras with exterior homology

W. G. Dwyer·J. P. C. Greenlees·S. B. Iyengar
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Abstract

We study differential graded algebras whose homology is an exterior algebra over a commutative ring R on a generator of degree n, and also certain types of differential modules over these DGAs. We obtain a complete classification when R is the integers, or the prime field of characteristic p>0, and n is greater than or equal to -1. The examples are unexpectedly interesting.

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BibTeXRIS

W. G. Dwyer, J. P. C. Greenlees, S. B. Iyengar. 2012-07-14. DG algebras with exterior homology. https://doi.org/10.1112/blms%2Fbdt052

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