A. Kiselev

collaborators

3 papers

math.CO2025

Kontsevich graphs act on Nambu-Poisson brackets, VI. Open problems

Mollie S. Jagoe Brown, Arthemy V. Kiselev

Kontsevich's graphs from deformation quantisation allow encoding multi-vectors whose coefficients are differential-polynomial in components of Poisson brackets on finite-dimensiona…

math.RA2025

Jacobi identities for Wronskian determinants over multidimension

Arthemy V. Kiselev

The generalised Wronskian of differential order $k ⩾ 1$ for $N$ functions $f_{1}$ , $\dots$ , $f_{N}$ in $d ⩾ 1$ independent variables $x^{1}$ , $\dots$ , $x^{d}$ is the determ…

math.CO2025

Kontsevich graphs act on Nambu--Poisson brackets, V. Implementation

Mollie S. Jagoe Brown, Arthemy V. Kiselev

In this series of papers, we established that $Q_{d = 4}^{γ_{3}} (P)$ is a coboundary in 4D (paper II arXiv:2409.12555), and we presented a series of experimental results about the (non…