2003/06/28 by Jonathan Block, Andrey Lazarev, Block, Jonathan +1
Mathematics · #13D03 #16E45 #55P62 #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AT #math.KT #msc:13D03 #msc:16E45 #msc:55P62
paper · pdf · doi:10.48550/arxiv.math/0306406
arxiv created 2003/06/28 · arxiv updated 2009/11/30
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.