On deformation quantization of quadratic Poisson structures

DOI10.1007/s00220-023-04829-zarXiv2109.07793OpenAlexW3198981116MaRDI QIDQ6089308

A. S. Khoroshkin, Sergey A. Merkulov

Publication date: 17 November 2023

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

Full work available at URL: https://arxiv.org/abs/2109.07793

Mathematics Subject Classification ID

Symplectic geometry, contact geometry (53Dxx) Lie algebras and Lie superalgebras (17Bxx) Categorical structures (18Dxx)

Cites Work

• The Frobenius properad is Koszul
• Wheeled PROPs, graph complexes and the master equation
• Deformation quantization of Poisson manifolds
• The oriented graph complexes
• Stable cohomology of polyvector fields
• M. Kontsevich's graph complex and the Grothendieck-Teichmüller Lie algebra
• Formality theorem for quantizations of Lie bialgebras
• Higher structures in geometry and physics. In honor of Murray Gerstenhaber and Jim Stasheff
• Deformation theory of representations of prop(erad)s II
• PROPped-Up Graph Cohomology
• Graph Complexes with Loops and Wheels
• Stable Formality Quasi-isomorphisms for Hochschild Cochains
• Grothendieck-Teichmueller group, operads and graph complexes: a survey
• From Deformation Theory of Wheeled Props to Classification of Kontsevich Formality Maps
• Classification of universal formality maps for quantizations of Lie bialgebras
• Deformation theory of Lie bialgebra properads
• A Koszul duality for props
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