Kontsevich formality and cohomologies for graphs

DOI10.1007/s11005-004-1220-7zbMath1066.53143OpenAlexW2014138849MaRDI QIDQ703997

Didier Arnal

Publication date: 12 January 2005

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

Full work available at URL: https://doi.org/10.1007/s11005-004-1220-7

zbMATH Keywords

graphcohomologyformality

Mathematics Subject Classification ID

Deformation quantization, star products (53D55) Poisson algebras (17B63) Geometric quantization (53D50) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (1)

Graph complexes in deformation quantization

Cites Work

• The intrinsic bracket on the deformation complex of an associative algebra
• Sign choices for M. Kontsevich's formality
• Chevalley cohomology for Kontsevich's graphs
• Deformation theory and quantization. I: Deformations of symplectic structures
• A formality theorem for Poisson manifolds
• Deformation quantization of Poisson manifolds
• On the deformation of rings and algebras
• Cohomologie de Hochschild des graphes de Kontsevich
• Differential Forms On Regular Affine Algebras
• Tamarkins proof of Kontsevich formality theorem
• Cohomology and deformations in graded Lie algebras
• G_∞-Formality Theorem in Terms of Graphs and Associated Chevalley–Eilenberg–Harrison Cohomology^#
• Lifts of 𝐶_{∞}- and 𝐿_{∞}-morphisms to 𝐺_{∞}-morphisms

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