22 citations · 73 across the 13 of their papers we have counts for
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Poisson brackets symmetry from the pentagon-wheel cocycle in the graph complex
Ricardo Buring, Arthemy V. Kiselev, Nina J. Rutten
Kontsevich designed a scheme to generate infinitesimal symmetries of Poisson brackets on all affine manifolds ; ev…
The heptagon-wheel cocycle in the Kontsevich graph complex
Ricardo Buring, Arthemy Kiselev, Nina Rutten
The real vector space of non-oriented graphs is known to carry a differential graded Lie algebra structure. Cocycles in the Kontsevich graph complex, expressed using formal sums of…
Infinitesimal deformations of Poisson bi-vectors using the Kontsevich graph calculus
Ricardo Buring, Arthemy V. Kiselev, Nina Rutten
Let be a Poisson structure on a finite-dimensional affine real manifold. Can be deformed in such a way that it stays Poisson? The language of Kontsevich graphs provides a u…
The expansion mod and computer-assisted proof schemes in the Kontsevich deformation quantization
Ricardo Buring, Arthemy Kiselev
The Kontsevich deformation quantization combines Poisson dynamics, noncommutative geometry, number theory, and calculus of oriented graphs. To manage the algebra and differential c…