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arXiv · 1410.8244

Connected simplicial algebras are Andr\'e-Quillen complete

Michael Donovan
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Abstract

We modify a classical construction of Bousfield and Kan to define the Adams tower of a simplicial nonunital commutative algebra over a field k. We relate this construction to Radulescu-Banu's cosimplicial resolution, and prove that all connected simplicial algebras are complete with respect to Andr\'e-Quillen homology. This is a convergence result for the unstable Adams spectral sequence for commutative algebras over k.

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Michael Donovan. 2014-10-30. Connected simplicial algebras are Andr\'e-Quillen complete. https://arxiv.org/abs/1410.8244

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