Formal geometry and combinatorics of the Maurer-Cartan equation

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Formal geometry and combinatorics of the Maurer-Cartan equation. / Chuang, Joseph; Lazarev, Andrey.
In: Letters in Mathematical Physics, Vol. 103, No. 1, 2013, p. 79–112.

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

Harvard

Chuang, J & Lazarev, A 2013, 'Formal geometry and combinatorics of the Maurer-Cartan equation', Letters in Mathematical Physics, vol. 103, no. 1, pp. 79–112. https://doi.org/10.1007/s11005-012-0586-1

APA

Chuang, J., & Lazarev, A. (2013). Formal geometry and combinatorics of the Maurer-Cartan equation. Letters in Mathematical Physics, 103(1), 79–112. https://doi.org/10.1007/s11005-012-0586-1

Vancouver

Chuang J, Lazarev A. Formal geometry and combinatorics of the Maurer-Cartan equation. Letters in Mathematical Physics. 2013;103(1):79–112. Epub 2012 Oct 10. doi: 10.1007/s11005-012-0586-1

Author

Chuang, Joseph ; Lazarev, Andrey. / Formal geometry and combinatorics of the Maurer-Cartan equation. In: Letters in Mathematical Physics. 2013 ; Vol. 103, No. 1. pp. 79–112.

Bibtex

@article{357ca4e696eb4c5b928322e1b08000c8,

title = "Formal geometry and combinatorics of the Maurer-Cartan equation",

abstract = "We give a general treatment of the Maurer–Cartan equation in homotopy algebras and describe the operads and formal differential geometric objects governing the corresponding algebraic structures. We show that the notion of Maurer–Cartan twisting is encoded in certain automorphisms of these universal objects.",

keywords = "differential graded Lie algebra, Maurer–Cartan element , A-infinity algebra , L-infinity algebra , operad, twisting",

author = "Joseph Chuang and Andrey Lazarev",

year = "2013",

doi = "10.1007/s11005-012-0586-1",

language = "English",

volume = "103",

pages = "79–112",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer Netherlands",

number = "1",

}

RIS

TY - JOUR

T1 - Formal geometry and combinatorics of the Maurer-Cartan equation

AU - Chuang, Joseph

AU - Lazarev, Andrey

PY - 2013

Y1 - 2013

N2 - We give a general treatment of the Maurer–Cartan equation in homotopy algebras and describe the operads and formal differential geometric objects governing the corresponding algebraic structures. We show that the notion of Maurer–Cartan twisting is encoded in certain automorphisms of these universal objects.

AB - We give a general treatment of the Maurer–Cartan equation in homotopy algebras and describe the operads and formal differential geometric objects governing the corresponding algebraic structures. We show that the notion of Maurer–Cartan twisting is encoded in certain automorphisms of these universal objects.

KW - differential graded Lie algebra

KW - Maurer–Cartan element

KW - A-infinity algebra

KW - L-infinity algebra

KW - operad

KW - twisting

U2 - 10.1007/s11005-012-0586-1

DO - 10.1007/s11005-012-0586-1

M3 - Journal article

VL - 103

SP - 79

EP - 112

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 1

ER -

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