A.V. (Arthemy) Kiselev

Assistant professor

Faculteit Science and Engineering

Telefoon:

050 36 33969

E-mail:

a.v.kiselev rug.nl

Research Portal

Publicaties

Kontsevich’s star-product up to order 7 for affine Poisson brackets: where are the Riemann zeta values?

Buring, R. & Kiselev, A. V., 2024, In: Open Communications in Nonlinear Mathematical Physics. 2024-June, Special Issue 2, blz. 190-233 44 blz.

Onderzoeksoutput › › peer review

Associativity certificates for Kontsevich's star-product ∗ mod ō(hk ): K ≤ 6 unlike k ≥ 7

Buring, R. & Kiselev, A. V., 2023, XII International Symposium on Quantum Theory and Symmetries (QTS12). IoP Publishing, 9 blz. (Journal of Physics: Conference Series; vol. 2667, nr. 1).

Onderzoeksoutput › › peer review

The Expansion star mod o (h(4)) and Computer-Assisted Proof Schemes in the Kontsevich Deformation Quantization

Buring, R. & Kiselev, A. V., 2022, In: Experimental Mathematics. 31, 3, blz. 701-754 54 blz.

Onderzoeksoutput › › peer review

Universal Cocycles and the Graph Complex Action on Homogeneous Poisson Brackets by Diffeomorphisms

Buring, R. & Kiselev, A. V., 1-sep.-2020, In: Physics of Particles and Nuclei Letters. 17, 5, blz. 707-713 7 blz.

Onderzoeksoutput › › peer review

Formality morphism as the mechanism of $\star$-product associativity: how it works

Buring, R. & Kiselev, A., 1-jul.-2019, In: Transactions of Institute of Mathematics, the NAS of Ukraine. 16, 1, blz. 22-43

Onderzoeksoutput › › peer review

On the (Non)Removability of Spectral Parameters in Z 2 -Graded Zero-Curvature Representations and Its Applications

Kiselev, A. V. & Krutov, A. O., 15-apr.-2019, In: Acta applicandae mathematicae. 160, 1, blz. 129-167 39 blz.

Onderzoeksoutput › › peer review

Computing symmetries and recursion operators of evolutionary super-systems using the SsTools environment

Kiselev, A., Krutov, A. O. & Wolf, T., 3-dec.-2018, Nonlinear Systems and Their Remarkable Mathematical Structures: Vol. 1. Euler, N. (uitgave). 1st. uitgave Boca Raton FL, USA: CRC Press, Vol. 1. blz. 390–407 18 blz.

Onderzoeksoutput › › peer review

Infinitesimal deformations of Poisson bi-vectors using the Kontsevich graph calculus

Buring, R., Kiselev, A. V. & Rutten, N., 15-feb.-2018, The XXV International Conference on Integrable Systems and Quantum Symmetries (ISQS-25). IOP PUBLISHING LTD, 12 blz. 012010. (Journal of Physics, Conference Series; vol. 965, nr. 1).

Onderzoeksoutput › › peer review

Poisson Brackets Symmetry from the Pentagon-Wheel Cocycle in the Graph Complex

Buring, R., Kiselev, A. V. & Rutten, N. J., sep.-2018, In: Physics of Particles and Nuclei. 49, 5, blz. 924-928 5 blz.

Onderzoeksoutput › › peer review

The calculus of multivectors on noncommutative jet spaces

Kiselev, A. V., aug.-2018, In: Journal of geometry and physics. 130, blz. 130-167 38 blz.

Onderzoeksoutput › › peer review

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