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Nilpotency in the homotopy of simplicial commutative algebras

James M Turner
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Abstract

In this paper, we study simplicial commutative algebras with finite André-Quillen homology. Here we restrict our focus to simplicial algebras having characteristic 2. Our aim is to find a generalization of results established by the author. Our goal is to replace the finiteness condition on homotopy with a weaker condition expressed in terms of nilpotency for the action of the homotopy operations. Coupled with the finiteness assumption on André-Quillen homology, this nilpotency condition provides a way to bound the height at which the homology vanishes. As a consequence, we establish a special case of an open conjecture of Quillen.

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James M Turner. 2002-01-09. Nilpotency in the homotopy of simplicial commutative algebras. https://arxiv.org/abs/math/0201064

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