The cotriple resolution of differential graded algebras
Algebraic Topology
2017-03-20 v2
Abstract
We consider the cotriple resolution of algebras over operads in differential graded modules. We focus, to be more precise, on the example of algebras over the differential graded Barratt-Eccles operad and on the example of commutative alegbras. We prove that the geometric realization of the cotriple resolution (in the sense of model categories) gives a cofibrant resolution functor on these categories of differential graded algebras.
Keywords
Cite
@article{arxiv.1503.08489,
title = {The cotriple resolution of differential graded algebras},
author = {Benoit Fresse},
journal= {arXiv preprint arXiv:1503.08489},
year = {2017}
}
Comments
15 pages. Order of {\S}3 and {\S}4 switched. Minor amendments and a few remarks added. To appear in Proc. Amer. Math. Soc