A Note on Multi-Oriented Graph Complexes and Deformation Quantization of Lie Bialgebroids

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Author: Morand, Kevin
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211525
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Note on Multi-Oriented Graph Complexes and Deformation Quantization of Lie Bialgebroids. Kevin Morand. SIGMA 18 (2022), 020, 38 pages

Universal solutions to deformation quantization problems can be conveniently classified by the cohomology of suitable graph complexes. In particular, the deformation quantizations of (finite-dimensional) Poisson manifolds and Lie bialgebras are characterised by an action of the Grothendieck-Teichmül...