The heptagon-wheel cocycle in the Kontsevich graph complex

DOI10.1080/14029251.2017.1418060zbMath1420.53084arXiv1710.00658OpenAlexW3101050121MaRDI QIDQ5231107

R. Buring, Nina J. Rutten, Arthemy V. Kiselev

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00658

zbMATH Keywords

symmetrycocyclePoisson geometrydifferentialnon-oriented graph complex

Mathematics Subject Classification ID

Programming involving graphs or networks (90C35) Applications of deformations of analytic structures to the sciences (32G81) Poisson manifolds; Poisson groupoids and algebroids (53D17) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Differential complexes (58J10) Deformations and infinitesimal methods in commutative ring theory (13D10)

Related Items (4)

The calculus of multivectors on noncommutative jet spaces ⋮ Graph homology computations ⋮ Unnamed Item ⋮ The Kontsevich graph orientation morphism revisited

Cites Work

• Mixed Tate motives over \(\mathbb{Z}\)
• Multiple edges in M. Kontsevich's graph complexes and computations of the dimensions and Euler characteristics
• Differentials on graph complexes
• Kontsevich's graph complex, GRT, and the deformation complex of the sheaf of polyvector fields
• M. Kontsevich's graph complex and the Grothendieck-Teichmüller Lie algebra
• The Kontsevich tetrahedral flow revisited
• Homological Algebra of Mirror Symmetry
• The Expansion ⋆ mod ō (ℏ⁴) and Computer-Assisted Proof Schemes in the Kontsevich Deformation Quantization
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