M. Brown

most citedKontsevich graphs act on Nambu--Poisson brackets, II. The tetrahedral flow is a coboundary in 4D

2 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2025

Kontsevich graphs act on Nambu--Poisson brackets, IV. When the invisible becomes crucial

Mollie S. Jagoe Brown, Arthemy V. Kiselev

Kontsevich's graphs allow encoding multi-vectors whose coefficients are differential-polynomial in the coefficients of a given Poisson bracket on an affine real manifold. Encoding…

math.QA2024★ 2 cited

Kontsevich graphs act on Nambu--Poisson brackets, II. The tetrahedral flow is a coboundary in 4D

Mollie S. Jagoe Brown, Floor Schipper, Arthemy V. Kiselev

Kontsevich constructed a map from suitable cocycles in the graph complex to infinitesimal deformations of Poisson bi-vector fields. Under the deformations, the bi-vector fields rem…

math.QA2024★ 2 cited

Kontsevich graphs act on Nambu-Poisson brackets, I. New identities for Jacobian determinants

Arthemy V. Kiselev, Mollie S. Jagoe Brown, Floor Schipper

Nambu-determinant brackets on $R^{d} ∋ x = (x^{1}, ..., x^{d})$ , ${f, g}_{d} (x) = ρ (x) det (\partial (f, g, a_{1}, ..., a_{d - 2}) / \partial (x^{1}, ..., x^{d}))$ , with $a_{i} \in C^{\infty} (R^{d})$ and $ρ\partial_x\…