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Equivalences of Higher Derived Brackets

Alberto S. Cattaneo, Florian Schaetz
Arxiv ID: 0704.1403Last updated: 5/19/2020
This note elaborates on Th. Voronov's construction [math/0304038,math/0412202] of $L_\infty$-structures via higher derived brackets with a Maurer-Cartan element. It is shown that gauge equivalent Maurer-Cartan elements induce $L_\infty$-isomorphic structures. Applications in symplectic, Poisson and Dirac geometry are discussed.

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