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Unbased rational homotopy theory: a Lie algebra approach

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>24/11/2015
<mark>Journal</mark>arxiv.org
Publication StatusPublished
<mark>Original language</mark>English

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.