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Models for classifying spaces and derived deformation theory

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Models for classifying spaces and derived deformation theory. / Lazarev, Andrey.
In: Proceedings of the London Mathematical Society, Vol. 109, No. 1, 2014, p. 40-64.

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

Harvard

Lazarev, A 2014, 'Models for classifying spaces and derived deformation theory', Proceedings of the London Mathematical Society, vol. 109, no. 1, pp. 40-64. https://doi.org/10.1112/plms/pdt069

APA

Lazarev, A. (2014). Models for classifying spaces and derived deformation theory. Proceedings of the London Mathematical Society, 109(1), 40-64. https://doi.org/10.1112/plms/pdt069

Vancouver

Lazarev A. Models for classifying spaces and derived deformation theory. Proceedings of the London Mathematical Society. 2014;109(1):40-64. Epub 2014 Feb 4. doi: 10.1112/plms/pdt069

Author

Lazarev, Andrey. / Models for classifying spaces and derived deformation theory. In: Proceedings of the London Mathematical Society. 2014 ; Vol. 109, No. 1. pp. 40-64.

Bibtex

@article{4de5cf5699554a1da11689c8ac6cfc1c,
title = "Models for classifying spaces and derived deformation theory",
abstract = "Using the theory of extensions of L∞L∞L∞ algebras, we construct rational homotopy models for classifying spaces of fibrations, giving answers in terms of classical homological functors, namely the Chevalley–Eilenberg and Harrison cohomology. We also investigate the algebraic structure of the Chevalley–Eilenberg complexes of L∞L∞L∞ algebras and show that they possess, along with the Gerstenhaber bracket, an L∞L∞L∞ structure that is homotopy abelian.",
author = "Andrey Lazarev",
year = "2014",
doi = "10.1112/plms/pdt069",
language = "English",
volume = "109",
pages = "40--64",
journal = "Proceedings of the London Mathematical Society",
issn = "0024-6115",
publisher = "Oxford University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Models for classifying spaces and derived deformation theory

AU - Lazarev, Andrey

PY - 2014

Y1 - 2014

N2 - Using the theory of extensions of L∞L∞L∞ algebras, we construct rational homotopy models for classifying spaces of fibrations, giving answers in terms of classical homological functors, namely the Chevalley–Eilenberg and Harrison cohomology. We also investigate the algebraic structure of the Chevalley–Eilenberg complexes of L∞L∞L∞ algebras and show that they possess, along with the Gerstenhaber bracket, an L∞L∞L∞ structure that is homotopy abelian.

AB - Using the theory of extensions of L∞L∞L∞ algebras, we construct rational homotopy models for classifying spaces of fibrations, giving answers in terms of classical homological functors, namely the Chevalley–Eilenberg and Harrison cohomology. We also investigate the algebraic structure of the Chevalley–Eilenberg complexes of L∞L∞L∞ algebras and show that they possess, along with the Gerstenhaber bracket, an L∞L∞L∞ structure that is homotopy abelian.

U2 - 10.1112/plms/pdt069

DO - 10.1112/plms/pdt069

M3 - Journal article

VL - 109

SP - 40

EP - 64

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

SN - 0024-6115

IS - 1

ER -