Unbased rational homotopy theory: a Lie algebra approach
arXiv:1511.07669
Abstract
In this paper an algebraic model for unbased rational homotopy theory from the perspective of curved Lie algebras is constructed. As part of this construction a model structure for the category of pseudo-compact curved Lie algebras with curved morphisms will be introduced; one which is Quillen equivalent to a certain model structure of unital commutative differential graded algebras, thus extending the known Quillen equivalence of augmented algebras and differential graded Lie algebras.
23 pages. The author is thankful to Paul Levy and Theodore Voronov for their corrections and comments