Equivalences of Higher Derived Brackets

Abstract

This note elaborates on Th. Voronov's construction [math/0304038,math/0412202] 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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