An explicit two step quantization of Poisson structures and Lie bialgebras

DOI10.1007/s00220-018-3267-9zbMath1404.53106arXiv1612.00368OpenAlexW2558726234WikidataQ129087311 ScholiaQ129087311MaRDI QIDQ1989851

Thomas Willwacher, Sergey A. Merkulov

Publication date: 29 October 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00368

zbMATH Keywords

Poisson bracketLie bialgebradeformation quantisation\(\text{Lie}_{\infty}\) algebra

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63) Geometric quantization (53D50)

Related Items (6)

A note on multi-oriented graph complexes and deformation quantization of Lie bialgebroids ⋮ Multi-directed graph complexes and quasi-isomorphisms between them I: oriented graphs ⋮ The cohomology of the full directed graph complex ⋮ Multi-oriented props and homotopy algebras with branes ⋮ Classification of universal formality maps for quantizations of Lie bialgebras ⋮ An \(L_\infty \) algebra structure on polyvector fields

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