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Using the technique of higher derived brackets developed by Voronov, we construct a homotopy Loday algebra in the sense of Ammar and Poncin associated to any symplectic $2$-manifold.
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Courant algebroids, derived brackets and even symplectic supermanifolds
R. Roytenberg · 1999
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On the structure of graded symplectic supermanifolds and Courant algebroids
D. Roytenberg · 2002
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Graded manifolds and Drinfel’d doubles for Lie bialgebroids
Th.Th. Voronov · 2002
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Derived brackets
Y. Kosmann-Schwarzbach · 2004
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Lagrange structure and quantization
P.O. Kazinski, S.L. Lyakhovich, and A.A. Sharapov · 2005
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Th.Th. Voronov · 2005
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Higher derived brackets for arbitrary derivations
Higher Poisson brackets and differential forms
H.M. Khudaverdian and Th.Th. Voronov · 2008
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Coalgebraic approach to the Loday infinity category, stem differential for 2 n 2n -ary graded and homotopy algebras
M. Ammar and N. Poncin · 2010
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Derived brackets and sh Leibniz algebras
K. Uchino · 2011
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L ∞ L_{\infty} -algebras and higher analogues of Dirac structures and Courant algebroids
M. Zambon · 2012
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Nonabelian higher derived brackets
R. Bandiera · 2015
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Deformation theory of Courant algebroids via the Rothstein algebra
F. Keller and S. Waldmann · 2015
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Th.Th. Voronov · 2005
Cited alongside, same era.
Non-commutative Batalin-Vilkovisky algebras, homotopy Lie algebras and the Courant bracket
K. Bering · 2007
Cited alongside, same era.
Lifting a weak Poisson bracket to the algebra of forms
S.L. Lyakhovich, M. Peddie, and A.A. Sharapov · 2017
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