Graph Complexes with Loops and Wheels

DOI10.1007/978-0-8176-4747-6_10zbMath1245.53061OpenAlexW600693551MaRDI QIDQ3582033

Sergey A. Merkulov

Publication date: 2 September 2010

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: http://orbilu.uni.lu/handle/10993/6473

zbMATH Keywords

deformation quantizationPoisson manifoldsoperadsprops

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformation quantization, star products (53D55)

Related Items (8)

Formality theorem for quantizations of Lie bialgebras ⋮ On quantizable odd Lie bialgebras ⋮ Multi-oriented props and homotopy algebras with branes ⋮ On deformation quantization of quadratic Poisson structures ⋮ On the wheeled PROP of stable cohomology of \(\mathrm{Aut}(F_n)\) with bivariant coefficients ⋮ Moduli stacks of algebraic structures and deformation theory ⋮ Operad profiles of Nijenhuis structures ⋮ Quantizations of Lie bialgebras, duality involution and oriented graph complexes

Cites Work

• PROP profile of Poisson geometry
• Wheeled PROPs, graph complexes and the master equation
• Koszul duality for dioperads.
• Deformation quantization of Poisson manifolds
• PROPped-Up Graph Cohomology
• A Koszul duality for props
• Categorical algebra
• nijenhuis infinity and contractible differential graded manifolds
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