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