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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4 papers · 1 filter

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\…

math.QA2024★ 3 cited

Kontsevich graphs act on Nambu-Poisson brackets, III. Uniqueness aspects

Floor Schipper, Mollie S Jagoe Brown, Arthemy V Kiselev

Kontsevich constructed a map between `good' graph cocycles $γ$ and infinitesimal deformations of Poisson bivectors on affine manifolds, that is, Poisson cocycles in the second Lich…

math.QA2016★ 3 cited

On the Kontsevich $⋆$ -product associativity mechanism

Ricardo Buring, Arthemy V. Kiselev

The deformation quantization by Kontsevich [arXiv:q-alg/9709040] is a way to construct an associative noncommutative star-product $⋆ = \times + ℏ {,}_{P} + o ˉ (ℏ)$ …

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

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

Kontsevich graphs act on Nambu-Poisson brackets, III. Uniqueness aspects

On the Kontsevich ⋆-product associativity mechanism

On the Kontsevich $⋆$ -product associativity mechanism