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    Rights statement: This is the author’s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Advances in Mathematics, 283, 2015 DOI: 10.1016/j.aim.2015.07.009

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Disconnected rational homotopy theory

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Disconnected rational homotopy theory. / Lazarev, Andrey; Markl, Martin .
In: Advances in Mathematics, Vol. 283, 01.10.2015, p. 303-361.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Lazarev, A & Markl, M 2015, 'Disconnected rational homotopy theory', Advances in Mathematics, vol. 283, pp. 303-361. https://doi.org/10.1016/j.aim.2015.07.009

APA

Lazarev, A., & Markl, M. (2015). Disconnected rational homotopy theory. Advances in Mathematics, 283, 303-361. https://doi.org/10.1016/j.aim.2015.07.009

Vancouver

Lazarev A, Markl M. Disconnected rational homotopy theory. Advances in Mathematics. 2015 Oct 1;283:303-361. Epub 2015 Jul 31. doi: 10.1016/j.aim.2015.07.009

Author

Lazarev, Andrey ; Markl, Martin . / Disconnected rational homotopy theory. In: Advances in Mathematics. 2015 ; Vol. 283. pp. 303-361.

Bibtex

@article{9ee27295d708494aa98645edb8f2e810,
title = "Disconnected rational homotopy theory",
abstract = "We construct two algebraic versions of homotopy theory of rational disconnected topological spaces, one based on differential graded commutative associative algebras and the other one on complete differential graded Lie algebras. As an application of the developed technology we obtain results on the structure of Maurer–Cartan spaces of complete differential graded Lie algebras.",
author = "Andrey Lazarev and Martin Markl",
note = "This is the author{\textquoteright}s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Advances in Mathematics, 283, 2015 DOI: 10.1016/j.aim.2015.07.009 ",
year = "2015",
month = oct,
day = "1",
doi = "10.1016/j.aim.2015.07.009",
language = "English",
volume = "283",
pages = "303--361",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",

}

RIS

TY - JOUR

T1 - Disconnected rational homotopy theory

AU - Lazarev, Andrey

AU - Markl, Martin

N1 - This is the author’s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Advances in Mathematics, 283, 2015 DOI: 10.1016/j.aim.2015.07.009

PY - 2015/10/1

Y1 - 2015/10/1

N2 - We construct two algebraic versions of homotopy theory of rational disconnected topological spaces, one based on differential graded commutative associative algebras and the other one on complete differential graded Lie algebras. As an application of the developed technology we obtain results on the structure of Maurer–Cartan spaces of complete differential graded Lie algebras.

AB - We construct two algebraic versions of homotopy theory of rational disconnected topological spaces, one based on differential graded commutative associative algebras and the other one on complete differential graded Lie algebras. As an application of the developed technology we obtain results on the structure of Maurer–Cartan spaces of complete differential graded Lie algebras.

U2 - 10.1016/j.aim.2015.07.009

DO - 10.1016/j.aim.2015.07.009

M3 - Journal article

VL - 283

SP - 303

EP - 361

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

ER -