Unbased rational homotopy theory:a Lie algebra approach

Maunder, James (2015) Unbased rational homotopy theory:a Lie algebra approach. arxiv.org.

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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.

Item Type:
Journal Article
Journal or Publication Title:
arxiv.org
ID Code:
88427
Deposited By:
Deposited On:
26 Oct 2017 12:24
Refereed?:
No
Published?:
Published
Last Modified:
24 Apr 2020 04:37