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arXiv · 1511.07669

Unbased rational homotopy theory: a Lie algebra approach

James Maunder
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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.

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James Maunder. 2015-11-24. Unbased rational homotopy theory: a Lie algebra approach. https://arxiv.org/abs/1511.07669

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