Unbased rational homotopy theory: a Lie algebra approach
Algebraic Topology
2018-01-16 v2
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.
Keywords
Cite
@article{arxiv.1511.07669,
title = {Unbased rational homotopy theory: a Lie algebra approach},
author = {James Maunder},
journal= {arXiv preprint arXiv:1511.07669},
year = {2018}
}
Comments
23 pages. The author is thankful to Paul Levy and Theodore Voronov for their corrections and comments