DG algebras with exterior homology
Algebraic Topology
2014-02-26 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1207.3461,
title = {DG algebras with exterior homology},
author = {W. G. Dwyer and J. P. C. Greenlees and S. B. Iyengar},
journal= {arXiv preprint arXiv:1207.3461},
year = {2014}
}
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15 pages