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Abstract Hodge decomposition and minimal models for cyclic algebras

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

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Abstract Hodge decomposition and minimal models for cyclic algebras. / Chuang, Joseph; Lazarev, Andrey.
In: Letters in Mathematical Physics, Vol. 89, No. 1, 2009, p. 33-49.

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

Harvard

Chuang, J & Lazarev, A 2009, 'Abstract Hodge decomposition and minimal models for cyclic algebras', Letters in Mathematical Physics, vol. 89, no. 1, pp. 33-49. https://doi.org/10.1007/s11005-009-0314-7

APA

Chuang, J., & Lazarev, A. (2009). Abstract Hodge decomposition and minimal models for cyclic algebras. Letters in Mathematical Physics, 89(1), 33-49. https://doi.org/10.1007/s11005-009-0314-7

Vancouver

Chuang J, Lazarev A. Abstract Hodge decomposition and minimal models for cyclic algebras. Letters in Mathematical Physics. 2009;89(1):33-49. doi: 10.1007/s11005-009-0314-7

Author

Chuang, Joseph ; Lazarev, Andrey. / Abstract Hodge decomposition and minimal models for cyclic algebras. In: Letters in Mathematical Physics. 2009 ; Vol. 89, No. 1. pp. 33-49.

Bibtex

@article{4d90d9d071ce437caff947627d7fa79e,
title = "Abstract Hodge decomposition and minimal models for cyclic algebras",
abstract = "We show that an algebra over a cyclic operad supplied with an additional linear algebra datum called Hodge decomposition admits a minimal model whose structure maps are given in terms of summation over trees. This minimal model is unique up to homotopy.",
keywords = "cyclic operad, cobar-construction, Hodge decomposition, minimal model, a-infinity algebra",
author = "Joseph Chuang and Andrey Lazarev",
year = "2009",
doi = "10.1007/s11005-009-0314-7",
language = "English",
volume = "89",
pages = "33--49",
journal = "Letters in Mathematical Physics",
issn = "0377-9017",
publisher = "Springer Netherlands",
number = "1",

}

RIS

TY - JOUR

T1 - Abstract Hodge decomposition and minimal models for cyclic algebras

AU - Chuang, Joseph

AU - Lazarev, Andrey

PY - 2009

Y1 - 2009

N2 - We show that an algebra over a cyclic operad supplied with an additional linear algebra datum called Hodge decomposition admits a minimal model whose structure maps are given in terms of summation over trees. This minimal model is unique up to homotopy.

AB - We show that an algebra over a cyclic operad supplied with an additional linear algebra datum called Hodge decomposition admits a minimal model whose structure maps are given in terms of summation over trees. This minimal model is unique up to homotopy.

KW - cyclic operad

KW - cobar-construction

KW - Hodge decomposition

KW - minimal model

KW - a-infinity algebra

U2 - 10.1007/s11005-009-0314-7

DO - 10.1007/s11005-009-0314-7

M3 - Journal article

VL - 89

SP - 33

EP - 49

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 1

ER -