Equivalences of higher derived brackets |
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Authors: | Alberto S Cattaneo Florian Schätz |
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Institution: | Institut für Mathematik, Universität Zürich-Irchel, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland |
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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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Keywords: | 16E45 17B63 17B70 17B81 18G55 53D17 58C50 |
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