We develop a simple theory of Andre-Quillen cohomology for commutative differential graded algebras over a field of characteristic zero. We then relate it to the homotopy groups of function spaces and spaces of homotopy self-equivalences of rational nilpotent CW-complexes. This puts certain results of Sullivan in a more conceptual framework. (c) 2004 Elsevier Inc. All rights reserved.
Bibliographical notePublisher: Academic Press
Other identifier: IDS Number: 920RD