A. Kiselev

activity

20042026

most citedPoisson brackets symmetry from the pentagon-wheel cocycle in the graph complex

11 citations · 32 across the 17 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math-ph2017★ 11 cited

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 $P ˙ = Q (P)$ of Poisson brackets $P$ on all affine manifolds $M^{r}$ ; ev…

math.CO2017★ 3 cited

The expansion $⋆$ mod $o ˉ (ℏ^{4})$ 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…

Poisson brackets symmetry from the pentagon-wheel cocycle in the graph complex

The expansion ⋆ mod oˉ(ℏ4) and computer-assisted proof schemes in the Kontsevich deformation quantization

The expansion $⋆$ mod $o ˉ (ℏ^{4})$ and computer-assisted proof schemes in the Kontsevich deformation quantization