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arXiv · 0704.1403

Equivalences of Higher Derived Brackets

Alberto S. Cattaneo·Florian Schaetz
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Abstract

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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Alberto S. Cattaneo, Florian Schaetz. 2007-04-11. Equivalences of Higher Derived Brackets. https://doi.org/10.1016/j.jpaa.2008.03.013

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