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Maurer–Cartan moduli and models for function spaces

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Maurer–Cartan moduli and models for function spaces. / Lazarev, Andrey.
In: Advances in Mathematics, Vol. 235, 01.03.2013, p. 296-320.

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

Harvard

Lazarev, A 2013, 'Maurer–Cartan moduli and models for function spaces', Advances in Mathematics, vol. 235, pp. 296-320. https://doi.org/10.1016/j.aim.2012.11.009

APA

Lazarev, A. (2013). Maurer–Cartan moduli and models for function spaces. Advances in Mathematics, 235, 296-320. https://doi.org/10.1016/j.aim.2012.11.009

Vancouver

Lazarev A. Maurer–Cartan moduli and models for function spaces. Advances in Mathematics. 2013 Mar 1;235:296-320. doi: 10.1016/j.aim.2012.11.009

Author

Lazarev, Andrey. / Maurer–Cartan moduli and models for function spaces. In: Advances in Mathematics. 2013 ; Vol. 235. pp. 296-320.

Bibtex

@article{9caa6012ee6c4dfcadfaea2722f0d0e2,
title = "Maurer–Cartan moduli and models for function spaces",
abstract = "We set up a formalism of Maurer–Cartan moduli sets for L∞ algebras and associated twistings based on the closed model category structure on formal differential graded algebras (a.k.a. differential graded coalgebras). Among other things this formalism allows us to give a compact and manifestly homotopy invariant treatment of Chevalley–Eilenberg and Harrison cohomology. We apply the developed technology to construct rational homotopy models for function spaces.",
keywords = "Closed model category , Differential graded algebra , Chevalley–Eilenberg cohomology , Maurer–Cartan element , Sullivan model",
author = "Andrey Lazarev",
year = "2013",
month = mar,
day = "1",
doi = "10.1016/j.aim.2012.11.009",
language = "English",
volume = "235",
pages = "296--320",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",

}

RIS

TY - JOUR

T1 - Maurer–Cartan moduli and models for function spaces

AU - Lazarev, Andrey

PY - 2013/3/1

Y1 - 2013/3/1

N2 - We set up a formalism of Maurer–Cartan moduli sets for L∞ algebras and associated twistings based on the closed model category structure on formal differential graded algebras (a.k.a. differential graded coalgebras). Among other things this formalism allows us to give a compact and manifestly homotopy invariant treatment of Chevalley–Eilenberg and Harrison cohomology. We apply the developed technology to construct rational homotopy models for function spaces.

AB - We set up a formalism of Maurer–Cartan moduli sets for L∞ algebras and associated twistings based on the closed model category structure on formal differential graded algebras (a.k.a. differential graded coalgebras). Among other things this formalism allows us to give a compact and manifestly homotopy invariant treatment of Chevalley–Eilenberg and Harrison cohomology. We apply the developed technology to construct rational homotopy models for function spaces.

KW - Closed model category

KW - Differential graded algebra

KW - Chevalley–Eilenberg cohomology

KW - Maurer–Cartan element

KW - Sullivan model

U2 - 10.1016/j.aim.2012.11.009

DO - 10.1016/j.aim.2012.11.009

M3 - Journal article

VL - 235

SP - 296

EP - 320

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

ER -