Andr\'e-Quillen cohomology and rational homotopy of function spaces
Algebraic Topology
2007-05-23 v1 K-Theory and Homology
Abstract
We develop a simple theory of Andr\'e-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 -complexes. This puts certain results of Sullivan in a more conceptual framework.
Keywords
Cite
@article{arxiv.math/0306406,
title = {Andr\'e-Quillen cohomology and rational homotopy of function spaces},
author = {Jonathan Block and Andrey Lazarev},
journal= {arXiv preprint arXiv:math/0306406},
year = {2007}
}