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arXiv · 1503.08489

The cotriple resolution of differential graded algebras

Benoit Fresse
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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.

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Benoit Fresse. 2015-03-29. The cotriple resolution of differential graded algebras. https://doi.org/10.1090/proc/13135

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