André–Quillen homology of algebra retracts
Luchezar L. Avramov, Srikanth Iyengar (2003)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology.”
André–Quillen homology of algebra retracts
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Following a Bendersky-Gitler idea, we construct an isomorphism between Anderson’s and Arone’s complexes modelling the chain complex of a mapping space. This allows us to apply Shipley’s convergence theorem to Arone’s model. As a corollary, we reduce the problem of homotopy equivalence for certain “toy” spaces to a problem in homological algebra.
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This article is a brief survey of the recent results obtained by several authors on Hochschild homology of commutative algebras arising from the second author’s paper [21].