Homotopy Loday Algebras and Symplectic $2$-Manifolds

zbMath1417.53089arXiv1804.03025MaRDI QIDQ5378089

Matthew T. Peddie

Publication date: 11 June 2019

Full work available at URL: https://arxiv.org/abs/1804.03025

zbMATH Keywords

Courant brackethomotopy algebraLeibniz algebraLoday algebraDorfman bracketnonabelian derived bracket

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Supermanifolds and graded manifolds (58A50)

Related Items (2)

Higher multi-Courant algebroids ⋮ $L_\infty$ and $A_\infty$ structures: then and now

Cites Work

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• From Poisson algebras to Gerstenhaber algebras
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• Manin triples for Lie bialgebroids
• \(L_\infty \)-algebras and higher analogues of Dirac sturctures and Courant algebroids
• Nonabelian higher derived brackets
• Deformation theory of Courant algebroids via the Rothstein algebra
• Higher derived brackets and homotopy algebras
• Non-commutative Batalin-Vilkovisky algebras, homotopy Lie algebras and the Courant bracket
• The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems
• Higher Poisson Brackets and Differential Forms

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