Calculus of functors, operad formality, and rational homology of embedding spaces

Gregory Arone, Pascal Lambrechts, Ismar Volic

Let M be a smooth manifold and V a Euclidean space. Let Ebar(M,V) be the homotopy fiber of the map from Emb(M,V) to Imm(M,V). This paper is about the rational homology of Ebar(M,V)…