Realization of Lie algebras of derivations and moduli spaces of some rational homotopy types

Abstract

We construct Lie algebras of derivations (and identify their geometrical realization) whose Maurer-Cartan sets provide moduli spaces describing the classes of homotopy types of rational spaces sharing either the same homotopy Lie algebra, homology or cohomology.

arXiv commentTo be published in Algebraic & Geometric Topology. This version fixes minor errors and contains an expanded introduction