Exhausting Formal Quantization Procedures

DOI10.1007/978-3-0348-0448-6_4zbMath1263.53085arXiv1111.2797OpenAlexW2112466733MaRDI QIDQ4915610

Vasiliy A. Dolgushev

Publication date: 11 April 2013

Published in: Geometric Methods in Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2797

zbMATH Keywords

deformation quantizationformality theorems

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) Deformation quantization, star products (53D55)

Related Items (2)

Kontsevich's graph complex, GRT, and the deformation complex of the sheaf of polyvector fields ⋮ The intrinsic formality of \(E_n\)-operads

Cites Work

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• Covariant and equivariant formality theorems
• Homotopy algebras inspired by classical open-closed string field theory
• Kontsevich's graph complex, GRT, and the deformation complex of the sheaf of polyvector fields
• Mixed resolutions and simplicial sections
• Deformation quantization of Poisson manifolds
• Stable cohomology of polyvector fields
• M. Kontsevich's graph complex and the Grothendieck-Teichmüller Lie algebra
• On global deformation quantization in the algebraic case
• Morita equivalence and characteristic classes of star products
• Stable Formality Quasi-isomorphisms for Hochschild Cochains
• Notes on algebraic operads, graph complexes, and Willwacher’s construction

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