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Unbased rational homotopy theory: a Lie algebra approach

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Unbased rational homotopy theory: a Lie algebra approach. / Maunder, James.
In: arxiv.org, 24.11.2015.

Research output: Contribution to Journal/MagazineJournal article

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@article{fa1d1db5534f44e4abe1f5f7f9bfe735,
title = "Unbased rational homotopy theory: a Lie algebra approach",
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.",
author = "James Maunder",
year = "2015",
month = nov,
day = "24",
language = "English",
journal = "arxiv.org",

}

RIS

TY - JOUR

T1 - Unbased rational homotopy theory

T2 - a Lie algebra approach

AU - Maunder, James

PY - 2015/11/24

Y1 - 2015/11/24

N2 - 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.

AB - 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.

M3 - Journal article

JO - arxiv.org

JF - arxiv.org

ER -