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Equivalences of higher derived brackets


Cattaneo, A S; Schätz, F (2008). Equivalences of higher derived brackets. Journal of Pure and Applied Algebra, 212(11):2450-2460.

Abstract

This note elaborates on Th. Voronov’s construction [Th. Voronov, Higher derived brackets and homotopy algebras, J. Pure Appl. Algebra 202 (1–3) (2005) 133–153; Th. Voronov, Higher derived brackets for arbitrary derivations, Travaux Math. XVI (2005) 163–186] of L∞-structures via higher derived brackets with a Maurer–Cartan element. It is shown that gauge equivalent Maurer–Cartan elements induce L∞-isomorphic structures. Applications in symplectic, Poisson and Dirac geometry are discussed.

Abstract

This note elaborates on Th. Voronov’s construction [Th. Voronov, Higher derived brackets and homotopy algebras, J. Pure Appl. Algebra 202 (1–3) (2005) 133–153; Th. Voronov, Higher derived brackets for arbitrary derivations, Travaux Math. XVI (2005) 163–186] of L∞-structures via higher derived brackets with a Maurer–Cartan element. It is shown that gauge equivalent Maurer–Cartan elements induce L∞-isomorphic structures. Applications in symplectic, Poisson and Dirac geometry are discussed.

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8 citations in Web of Science®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:November 2008
Deposited On:13 Jan 2009 16:11
Last Modified:05 Apr 2016 12:38
Publisher:Elsevier
ISSN:0022-4049
Publisher DOI:https://doi.org/10.1016/j.jpaa.2008.03.013
Related URLs:http://arxiv.org/abs/0704.1403
http://www.ams.org/mathscinet-getitem?mr=2440258

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