André-Quillen cohomology and rational homotopy of function spaces

Details André-Quillen cohomology and rational homotopy of function spaces André-Quillen cohomology and rational homotopy of function spaces

2003-06-28

arxiv.org/abs/math/0306406v1

Mathematics

Algebraic Topology

Scientific paper

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 $CW$-complexes. This puts certain
results of Sullivan in a more conceptual framework.

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