Differential hierarchy and additional grading of knot polynomials SB Arthamonov, AD Mironov, AY Morozov
Theoretical and Mathematical Physics 179, 509-542, 2014
55 2014 Link polynomial calculus and the AENV conjecture S Arthamonov, A Mironov, A Morozov
Journal of High Energy Physics 2014 (4), 1-28, 2014
38 2014 Rational Top and its Classical R-matrix G Aminov, S Arthamonov, A Smirnov, A Zotov
Journal of Physics A: Mathematical and Theoretical 47 (30), 305207, 2014
36 2014 Noncommutative inverse scattering method for the Kontsevich system S Arthamonov
Letters in Mathematical Physics 105 (9), 1223-1251, 2015
18 2015 Genus two generalization of spherical DAHA S Arthamonov, S Shakirov
Selecta Mathematica 25, 1-29, 2019
17 2019 Reduction of the elliptic top G Aminov, S Arthamonov
Journal of Physics A: Mathematical and Theoretical 44 (7), 075201, 2011
16 * 2011 Refined Chern–Simons theory in genus two S Arthamonov, S Shakirov
Journal of Knot Theory and Its Ramifications 29 (07), 2050044, 2020
15 * 2020 Modified double Poisson brackets S Arthamonov
Journal of Algebra 492, 212-233, 2017
14 2017 Superintegrable systems on moduli spaces of flat connections S Arthamonov, N Reshetikhin
Communications in Mathematical Physics 386, 1337-1381, 2021
13 2021 Painlevé field theory G Aminov, S Arthamonov, A Levin, M Olshanetsky, A Zotov
arXiv preprint arXiv:1306.3265, 2013
8 2013 Generalized quasi Poisson structures and noncommutative integrable systems S Artamonov
Rutgers The State University of New Jersey, School of Graduate Studies, 2018
7 2018 Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations S Arthamonov, J Harnad, J Hurtubise
Communications in Mathematical Physics 401 (2), 1337-1381, 2023
6 2023 Tau functions, infinite Grassmannians, and lattice recurrences S Arthamonov, J Harnad, J Hurtubise
Journal of Mathematical Physics 64 (2), 2023
6 2023 Noncommutative networks on a cylinder S Arthamonov, N Ovenhouse, M Shapiro
arXiv preprint arXiv:2008.02889, 2020
5 2020 New -Matrix Linear Problems for the Painlevé Equations III, V G Aminov, S Arthamonov
Constructive Approximation 41 (3), 357-383, 2015
5 * 2015 Modifications of bundles as generating functions of Lax operators G Aminov, S Arthamonov, A Smirnov, A Zotov
Preprint ITEP-TH 27, 13, 2013
5 2013 New integrable systems as a limit of the elliptic SL(N, ℂ ) top SB Arthamonov
Theoretical and Mathematical Physics 171, 589-599, 2012
2 2012 Cluster structure on genus 2 spherical DAHA: seven-colored flower S Arthamonov, L Chekhov, P Di Francesco, R Kedem, A Shapiro, ...
arXiv preprint arXiv:2402.16074, 2024
2024 Classical Limit of genus two DAHA S Arthamonov
arXiv preprint arXiv:2309.01011, 2023
2023 An Elliptic Generalization of Spherical DAHA at S Arthamonov, S Shakirov
arXiv preprint arXiv:2306.00215, 2023
2023