André-Quillen cohomology and rational homotopy of function spaces

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We develop a simple theory of André-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.

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Algebraic Topology, K-Theory and Homology, 55P62, 13D03, 16E45

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http://salesiana.dossiersoluciones.com/handle/123456789/67911

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306406
 http://arxiv.org/abs/math/0306406

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arXiv