Homotopy BV algebras in Poisson geometry

DOI10.1090/S0077-1554-2014-00216-8zbMath1306.53068arXiv1304.6373OpenAlexW3101955247MaRDI QIDQ2930858

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Publication date: 20 November 2014

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6373

zbMATH Keywords

cohomologyPoisson manifolddifferential operator\(L_\infty\) algebraBV algebraKoszul brackets

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Related Items

The BV formalism for \(L_\infty \)-algebras, Minimal models of quantum homotopy Lie algebras via the BV-formalism, The MV formalism for \({\mathrm{IBL}}_\infty \)- and \({\mathrm{BV}}_\infty \)-algebras, Quantization of \((-1)\)-shifted derived Poisson manifolds, Representations of Homotopy Lie–Rinehart Algebras, When Ext is a Batalin-Vilkovisky algebra, Hochschild cohomology of Sullivan algebras and mapping spaces, Linear Batalin-Vilkovisky quantization as a functor of \(\infty \)-categories, Kirillov structures up to homotopy, Nonabelian higher derived brackets, Quantisation of derived Lagrangians, Batalin-Vilkovisky algebra structures on (Co)Tor and Poisson bialgebroids.

Cites Work

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• Homotopy Batalin-Vilkovisky algebras
• L-infinity maps and twistings
• The canonical spectral sequences for Poisson manifolds
• Formality of Koszul brackets and deformations of holomorphic Poisson manifolds
• Deformation quantization of Poisson manifolds
• De Rham cohomology and homotopy Frobenius manifolds
• Higher derived brackets and homotopy algebras
• Smoothness theorem for differential BV algebras
• On the Lie-formality of Poisson manifolds
• Hodge theoretic aspects of mirror symmetry
• Higher Poisson Brackets and Differential Forms
• Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields