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Equivalences of Higher Derived Brackets. (arXiv:0704.1403v2 [math.QA] UPDATED) | Equivalences of Higher Derived Brackets. (arXiv:0704.1403v2 [math.QA] UPDATED) |
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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. Read more: http://arxiv.org/abs/0704.1403. |





