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L -infinity maps and twistings

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L -infinity maps and twistings. / Chuang, Joseph; Lazarev, Andrey.
In: Homology, Homotopy and Applications, Vol. 13, No. 2, 2011, p. 175-195.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Chuang, J & Lazarev, A 2011, 'L -infinity maps and twistings', Homology, Homotopy and Applications, vol. 13, no. 2, pp. 175-195. https://doi.org/10.4310/HHA.2011.v13.n2.a12

APA

Chuang, J., & Lazarev, A. (2011). L -infinity maps and twistings. Homology, Homotopy and Applications, 13(2), 175-195. https://doi.org/10.4310/HHA.2011.v13.n2.a12

Vancouver

Chuang J, Lazarev A. L -infinity maps and twistings. Homology, Homotopy and Applications. 2011;13(2):175-195. doi: 10.4310/HHA.2011.v13.n2.a12

Author

Chuang, Joseph ; Lazarev, Andrey. / L -infinity maps and twistings. In: Homology, Homotopy and Applications. 2011 ; Vol. 13, No. 2. pp. 175-195.

Bibtex

@article{adb35babf3064b7a8d370073fdfbd84f,
title = "L -infinity maps and twistings",
abstract = "We give a construction of an L∞ map from any L∞ algebra into its truncated Chevalley-Eilenberg complex as well as its cyclic and A∞ analogues. This map fits with the inclusion into the full Chevalley-Eilenberg complex (or its respective analogues) to form a homotopy fiber sequence of L∞ algebras. Applications to deformation theory and graph homology are given. We employ the machinery of Maurer-Cartan functors in L∞ and A∞ algebras and associated twistings which should be of independent interest.",
author = "Joseph Chuang and Andrey Lazarev",
year = "2011",
doi = "10.4310/HHA.2011.v13.n2.a12",
language = "English",
volume = "13",
pages = "175--195",
journal = "Homology, Homotopy and Applications",
issn = "1532-0073",
publisher = "International Press of Boston, Inc.",
number = "2",

}

RIS

TY - JOUR

T1 - L -infinity maps and twistings

AU - Chuang, Joseph

AU - Lazarev, Andrey

PY - 2011

Y1 - 2011

N2 - We give a construction of an L∞ map from any L∞ algebra into its truncated Chevalley-Eilenberg complex as well as its cyclic and A∞ analogues. This map fits with the inclusion into the full Chevalley-Eilenberg complex (or its respective analogues) to form a homotopy fiber sequence of L∞ algebras. Applications to deformation theory and graph homology are given. We employ the machinery of Maurer-Cartan functors in L∞ and A∞ algebras and associated twistings which should be of independent interest.

AB - We give a construction of an L∞ map from any L∞ algebra into its truncated Chevalley-Eilenberg complex as well as its cyclic and A∞ analogues. This map fits with the inclusion into the full Chevalley-Eilenberg complex (or its respective analogues) to form a homotopy fiber sequence of L∞ algebras. Applications to deformation theory and graph homology are given. We employ the machinery of Maurer-Cartan functors in L∞ and A∞ algebras and associated twistings which should be of independent interest.

U2 - 10.4310/HHA.2011.v13.n2.a12

DO - 10.4310/HHA.2011.v13.n2.a12

M3 - Journal article

VL - 13

SP - 175

EP - 195

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

SN - 1532-0073

IS - 2

ER -