22 citations · 73 across the 13 of their papers we have counts for
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Associativity certificates for Kontsevich's star-product mod : unlike
Ricardo Buring, Arthemy V. Kiselev
The formula mod of Kontsevich's star-product with harmonic propagators was known in full at since 2018 for generic Poisson bracket…
Kontsevich's star-product up to order 7 for affine Poisson brackets: where are the Riemann zeta values?
Ricardo Buring, Arthemy V. Kiselev
The Kontsevich star-product admits a well-defined restriction to the class of affine -- in particular, linear -- Poisson brackets; its graph expansion consists only of Kontsevich's…
Formality morphism as the mechanism of -product associativity: how it works
Ricardo Buring, Arthemy Kiselev
The formality morphism , in Kontsevich's deformation quantization is a collection of maps from tensor powers of the differ…
The Kontsevich tetrahedral flow revisited
Anass Bouisaghouane, Ricardo Buring, Arthemy V. Kiselev
We prove that the Kontsevich tetrahedral flow , the right-hand side of which is a linear combination of two differential monomi…
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 …