Cyclic \(A_\infty\)-algebras and double Poisson algebras

DOI10.4171/JNCG/412zbMath1484.16009arXiv1902.00787MaRDI QIDQ2043509

Yanyan Li

Publication date: 2 August 2021

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.00787

zbMATH Keywords

double Poisson algebrasA-infinity algebradouble P-infty algebrapre-Calabi-Yau algebras

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Bar and cobar constructions (57T30) Poisson algebras (17B63) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Related Items (3)

Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems ⋮ Around Van den Bergh’s double brackets for different bimodule structures ⋮ Noncommutative Poisson vertex algebras and Courant-Dorfman algebras

Cites Work

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• Fukaya \(A_\infty\)-structures associated to Lefschetz fibrations. I
• Noncommutative geometry and quiver algebras
• Pre-Calabi-Yau algebras as noncommutative Poisson structures
• Double Poisson cohomology of path algebras of quivers
• Algebraic string operations
• Double Poisson brackets on free associative algebras
• Double Poisson algebras
• Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
• Fukaya A ∞-structures Associated to Lefschetz Fibrations. II

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