Equivalences of Higher Derived Brackets

Details Equivalences of Higher Derived Brackets Equivalences of Higher Derived Brackets

2007-04-11

arxiv.org/abs/0704.1403v3

Mathematics

Quantum Algebra

16 pages; minor changes; corrected typos; to appear in JPAA

Scientific paper

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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