Vladimir Rubtsov

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All published works

Action	Title	Year	Authors
+ PDF Chat	Algebraic $2-$valued group structures on $\mathbb P^1$, Kontsevich-type polynomials, and multiplication formulas, I	2024	Victor Matveevich Buchstaber Ilia Gaiur Vladimir Rubtsov
+	Dualities for rational multi-particle Painlevé systems: Spectral versus Ruijsenaars	2024	Ilia Gaiur Vladimir Rubtsov
+	Towards a theory of homotopy structures for differential equations: First definitions and examples	2024	Jean-Pierre Magnot Enríque G. Reyes Vladimir Rubtsov
+	Non-Abelian discrete Toda chains and related lattices	2024	Irina Bobrova Vladimir Retakh Vladimir Rubtsov Georgy Sharygin
+ PDF Chat	Product formulas for the Higher Bessel functions	2024	Ilia Gaiur Vladimir Rubtsov Duco van Straten
+ PDF Chat	Monge–Ampère geometry and vortices	2024	Lewis Napper Ian Roulstone Vladimir Rubtsov Martin Wolf
+	Diffeologies and generalized Kadomtsev-Petviashvili hierarchies	2024	Anahita Eslami Rad Jean-Pierre Magnot Enríque G. Reyes Vladimir Rubtsov
+ PDF Chat	Isomonodromic Deformations: Confluence, Reduction and Quantisation	2023	Ilia Gaiur Marta Mazzocco Vladimir Rubtsov
+	Monge-Ampere Geometry and Vortices	2023	Lewis Napper Ian Roulstone Vladimir Rubtsov Martin Wolf
+ PDF Chat	Lectures on Poisson Algebras	2023	Vladimir Rubtsov Radek Suchánek
+	Frölicher structures, diffieties, and a formal KP hierarchy	2023	Jean-Pierre Magnot Enríque G. Reyes Vladimir Rubtsov
+ PDF Chat	Non-Abelian Discrete Toda Chains and Related Lattices	2023	Irina Bobrova Vladimir Retakh Vladimir Rubtsov Georgy Sharygin
+	Non-Abelian discrete Toda chains and related lattices	2023	Irina Bobrova Vladimir Retakh Vladimir Rubtsov Georgy Sharygin
+ PDF Chat	A fully noncommutative analog of the Painlevé IV equation and a structure of its solutions*	2022	Irina Bobrova Vladimir Retakh Vladimir Rubtsov Georgy Sharygin
+ PDF Chat	On (<i>t</i>2, <i>t</i>3)-Zakharov–Shabat equations of generalized Kadomtsev–Petviashvili hierarchies	2022	Jean-Pierre Magnot Enríque G. Reyes Vladimir Rubtsov
+	A fully noncommutative analog of the Painlevé IV equation and a structure of its solutions	2022	Irina Bobrova Vladimir Retakh Vladimir Rubtsov Georgy Sharygin
+	Frolicher structures, diffieties, and a formal KP hierarchy	2022	Jean-Pierre Magnot Enríque G. Reyes Vladimir Rubtsov
+	Isomonodromic deformations: Confluence, Reduction $\&$ quantisation	2021	Ilia Gaiur Marta Mazzocco Vladimir Rubtsov
+ PDF Chat	On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators	2021	Jean-Pierre Magnot Vladimir Rubtsov
+	Isomonodromic deformations: Confluence, Reduction $\&$ Quantisation	2021	Ilia Yu. Gaiur Marta Mazzocco Vladimir Rubtsov
+ PDF Chat	Koszul complexes and spectral sequences associated with Lie algebroids	2020	Ugo Bruzzo Vladimir Rubtsov
+	Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras	2020	Leonid Chekhov Marta Mazzocco Vladimir Rubtsov
+ PDF Chat	Noncommutative Cross-Ratio and Schwarz Derivative	2020	Vladimir Retakh Vladimir Rubtsov Georgy Sharygin
+ PDF Chat	Alexandre Mikhailovich Vinogradov (obituary)	2020	A M Astashov И.В. Асташова Aleksei Vadimovich Bocharov Victor Matveevich Buchstaber V. A. Vassiliev Alexander Verbovetsky Анатолий Моисеевич Вершик А. П. Веселов Michael M. Vinogradov L Vitagliano
+ PDF Chat	Dualities for rational multi-particle Painlev\'e systems: Spectral versus Ruijsenaars	2020	Ilia Gaiur Vladimir Rubtsov
+	Dualities for rational multi-particle Painlevé systems: Spectral versus Ruijsenaars	2019	Ilia Gaiur Vladimir Rubtsov
+ PDF Chat	Algebras of Quantum Monodromy Data and Character Varieties	2018	Leonid Chekhov Marta Mazzocco Vladimir Rubtsov
+	Lie algebroid cohomology and Lie algebroid extensions	2017	Ettore Aldrovandi Ugo Bruzzo Vladimir Rubtsov
+	Algebras of quantum monodromy data and decorated character varieties	2017	Marta Mazzocco Vladimir Rubtsov Leonid Chekhov
+	Lie algebroid cohomology and Lie algebroid extensions	2017	Ettore Aldrovandi Ugo Bruzzo Vladimir Rubtsov
+	Painlevé Monodromy Manifolds, Decorated Character Varieties, and Cluster Algebras	2016	Leonid Chekhov Marta Mazzocco Vladimir Rubtsov
+ PDF Chat	Quantization and Dynamisation of Trace-Poisson Brackets	2015	Jean Avan E. Ragoucy Vladimir Rubtsov
+ PDF Chat	Nonabelian holomorphic Lie algebroid extensions	2015	Ugo Bruzzo Igor Mencattini Vladimir Rubtsov Pietro Tortella
+	Painlevé monodromy manifolds, decorated character varieties and cluster algebras	2015	Leonid Chekhov Marta Mazzocco Vladimir Rubtsov
+ PDF Chat	Parameter-dependent associative Yang–Baxter equations and Poisson brackets	2014	Alexander Odesskii Vladimir Rubtsov В. В. Соколов
+ PDF Chat	Generalizations of Poisson Structures Related to Rational Gaudin Model	2014	Dimitri Gurevich Vladimir Rubtsov Pavel Saponov Zoran Škoda
+ PDF Chat	Parameter-dependent associative Yang-Baxter equations and Poisson brackets	2013	Alexander Odesskii Vladimir Rubtsov В. Б. Соколов
+ PDF Chat	Nonabelian Lie algebroid extensions	2013	Ugo Bruzzo Igor Mencattini Pietro Tortella Vladimir Rubtsov
+	Nonabelian holomorphic Lie algebroid extensions	2013	Ugo Bruzzo Igor Mencattini Vladimir Rubtsov Pietro Tortella
+ PDF Chat	Double Poisson brackets on free associative algebras	2013	Alexander Odesskii Vladimir Rubtsov В. Б. Соколов
+	Nonabelian holomorphic Lie algebroid extensions	2013	Ugo Bruzzo Igor Mencattini Vladimir Rubtsov Pietro Tortella
+ PDF Chat	On localization in holomorphic equivariant cohomology	2012	Ugo Bruzzo Vladimir Rubtsov
+	Classical elliptic current algebras. I	2012	S. Pakuliak Vladimir Rubtsov
+	Confluence on the Painlevé Monodromy Manifolds, their Poisson Structure and Quantisation	2012	Marta Mazzocco Vladimir Rubtsov
+ PDF Chat	Бигамильтоновы обыкновенные дифференциальные уравнения с матричными переменными	2012	A. V. Odesskiĭ Alexander Vladimirovich Odesskii Vladimir Rubtsov Vladimir Rubtsov Vladimir Rubtsov Vladimir Rubtsov Владимир Вячеславович Соколов В. В. Соколов
+ PDF Chat	Classical elliptic current algebras. II	2012	S. Pakuliak Vladimir Rubtsov
+	Bi-Hamiltonian ODEs with matrix variables	2011	Alexander Odesskii Vladimir Rubtsov В. В. Соколов
+	Integer solutions of integral inequalities and H-invariant Jacobian Poisson structures	2011	G. Ortenzi Vladimir Rubtsov Serge Roméo Tagne Pelap
+ PDF Chat	Noncommutative Toda chains, Hankel quasideterminants and the Painlevé II equation	2010	Vladimir Retakh Vladimir Rubtsov
+ PDF Chat	On the Heisenberg Invariance and the Elliptic Poisson Tensors	2010	G. Ortenzi Vladimir Rubtsov Serge Roméo Tagne Pelap
+	Systems of first-order partial differential equations on two-dimensional manifolds	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Exterior algebra on symplectic vector spaces	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Classification of symplectic MAOs on two-dimensional manifolds	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Contact classification of MAEs on two-dimensional manifolds	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Ordinary differential equations	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Classification of exterior 3-forms on a six-dimensional symplectic space	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	A symplectic classification of exterior 2-forms in dimension 4	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Model differential equations and the Lie superposition principle	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Monge–Ampère equations on two-dimensional manifolds and geometric structures	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Symmetries and contact transformations of Monge–Ampère equations	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Symplectic classification of exterior 2-forms	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Linear algebra of symplectic vector spaces	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Symplectic manifolds	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Monge–Ampère equations	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Symplectic classification of MAEs on three-dimensional manifolds	2010	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+ PDF Chat	Когомологии косоголоморфных алгеброидов Ли	2010	У Бруццо Ugo Bruzzo У Бруццо Ugo Bruzzo Vladimir Rubtsov Vladimir Rubtsov Vladimir Rubtsov Vladimir Rubtsov
+ PDF Chat	Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model	2009	Vladimir Rubtsov
+	Holomorphic equivariant cohomology of Atiyah algebroids and localization	2009	Ugo Bruzzo Vladimir Rubtsov
+ PDF Chat	Compatible Structures on Lie Algebroids and Monge-Ampère Operators	2009	Yvette Kosmann–Schwarzbach Vladimir Rubtsov
+ PDF Chat	Эквивариантные когомологии и локализация для алгеброидов Ли	2009	У Бруццо Ugo Bruzzo У Бруццо Ugo Bruzzo Л Чирио Lucio S. Cirio Л Чирио Lucio S. Cirio Paolo Rossi Paolo Rossi
+	Compatible structures on Lie algebroids and Monge-Amp\`ere operators	2008	Yvette Kosmann–Schwarzbach Vladimir Rubtsov
+ PDF Chat	Integrable systems associated with elliptic algebras	2008	Alexander Odesskii Vladimir Rubtsov
+ PDF Chat	On the Higher Poisson Structures of the Camassa–Holm Hierarchy	2008	G. Ortenzi Marco Pedroni Vladimir Rubtsov
+	Classical elliptic current algebras. I	2008	S. Pakuliak Vladimir Rubtsov Alexey Silantyev
+	Classical elliptic current algebras. II	2008	S. Pakuliak Vladimir Rubtsov Alexey Silantyev
+	Compatible structures on Lie algebroids and Monge-Ampère operators	2008	Yvette Kosmann–Schwarzbach Vladimir Rubtsov
+ PDF Chat	Basic representations of quantum current algebras in higher genus	2007	Benjamin Enriquez S. Pakuliak Vladimir Rubtsov
+	Contact Geometry and Non-linear Differential Equations	2006	Alexei Kushner Valentin Lychagin Vladimir Rubtsov
+	Quantizations of the Hitchin and Beauville–Mukai Integrable Systems	2005	Benjamin Enriquez Vladimir Rubtsov
+ PDF Chat	Commuting families in skew fields and quantization of Beauville's fibration	2003	Benjamin Enriquez Vladimir Rubtsov
+	Quantizations of Hitchin and Beauville-Mukai integrable systems	2002	Benjamin Enriquez Vladimir Rubtsov
+ PDF Chat	Полиномиальные алгебры Пуассона с регулярной структурой симплектических листов	2002	A. V. Odesskiĭ Alexander Vladimirovich Odesskii A. V. Odesskiĭ Alexander Vladimirovich Odesskii Vladimir Rubtsov Vladimir Rubtsov Vladimir Rubtsov Vladimir Rubtsov
+ PDF Chat	Duality in integrable systems and gauge theories	2000	V. V. Fock A. Gorsky Nikita Nekrasov Vladimir Rubtsov
+ PDF Chat	Quasi-hopf algebras associated withsl 2 and complex curves	1999	Benjamin Enriquez Vladimir Rubtsov
+ PDF Chat	A family of poisson structures on hermitian symmetric spaces	1993	Сергей Михайлович Хорошкин Andrey Radul Vladimir Rubtsov
+	Quantization of poisson pairs: the R-matrix approach	1992	Dmitri Gurevich Vladimir Rubtsov Naum Zobin

Common Coauthors

Coauthor	Papers Together
Valentin Lychagin	16
Alexei Kushner	16
Ugo Bruzzo	11
Marta Mazzocco	9
Vladimir Retakh	7
Jean-Pierre Magnot	6
Georgy Sharygin	6
Benjamin Enriquez	5
Ilia Yu. Gaiur	5
S. Pakuliak	5
Enríque G. Reyes	5
Leonid Chekhov	5
Irina Bobrova	5
Alexander Odesskii	5
Pietro Tortella	4
Yvette Kosmann–Schwarzbach	4
Igor Mencattini	3
Ilia Gaiur	3
В. В. Соколов	3
G. Ortenzi	3
Ettore Aldrovandi	2
Alexey Silantyev	2
В. Б. Соколов	2
Martin Wolf	2
Serge Roméo Tagne Pelap	2
Victor Matveevich Buchstaber	2
A. V. Odesskiĭ	2
Alexander Vladimirovich Odesskii	2
Lewis Napper	2
У Бруццо	2
Ian Roulstone	2
А. П. Веселов	1
Valentin Vasil'evich Lychagin	1
Naum Zobin	1
S. K. Lando	1
V. P. Maslov	1
A M Astashov	1
Paolo Rossi	1
Владимир Вячеславович Соколов	1
Dimitri Gurevich	1
Dmitri Gurevich	1
Alexander Yakovlevich Helemskii	1
Igor Mencattini	1
Anahita Eslami Rad	1
E. Ragoucy	1
Сергей Петрович Новиков	1
Michael M. Vinogradov	1
Сергей Михайлович Хорошкин	1
V. V. Fock	1
Aleksei Vadimovich Bocharov	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the Associative Analog of Lie Bialgebras	2001	Marcelo Aguiar	6
+	A theory of noncommutative determinants and characteristic functions of graphs	1992	Israel M. Gelfand Vladimir Retakh	6
+	General Theory of Lie Groupoids and Lie Algebroids	2005	Kirill C. H. Mackenzie	6
+ PDF Chat	Transverse measures, the modular class and a cohomology pairing for Lie algebroids	1999	Sam Evens	6
+ PDF Chat	Double Poisson algebras	2008	Michel Van den Bergh	5
+	Some algebraic structures connected with the Yang?Baxter equation	1983	E. K. Sklyanin	5
+	Monodromy perserving deformation of linear ordinary differential equations with rational coefficients. II	1981	Michio Jimbo Tetsuji Miwa	5
+ PDF Chat	Integrable ODEs on Associative Algebras	2000	А. В. Михайлов В. В. Соколов	5
+ PDF Chat	Quantization of Coset Space σ-Models Coupled to Two-Dimensional Gravity	1997	D. Korotkin Henning Samtleben	5
+	Cohomology of Lie Algebras	1953	G. Hochschild J-P. Serre	5
+ PDF Chat	Solvability of the super KP equation and a generalization of the Birkhoff decomposition	1988	Motohico Mulase	5
+	Poisson homogeneous spaces and Lie algebroids associated to Poisson actions	1997	Jiang-Hua Lu	5
+	Determinants of matrices over noncommutative rings	1991	Israel M. Gelfand Vladimir Retakh	5
+	A simple model of the integrable Hamiltonian equation	1978	Franco Magri	5
+	Determinant Formulas for the Toda and Discrete Toda Equations	1999	Kenji Kajiwara Tetsu Masuda Masatoshi Noumi Yasuhiro Ohta Yasuhiko Yamada	5
+	Conformal Field Theory and Integrable Systems Associated to Elliptic Curves	1995	Giovanni Felder	5
+ PDF Chat	Moduli spaces for linear differential equations and the Painlevé equations	2009	Marius van der Put Masa-Hiko Saito	4
+	Stable bundles and integrable systems	1987	Nigel Hitchin	4
+ PDF Chat	The Cauchy problem of the Kadomtsev-Petviashvili hierarchy with arbitrary coefficient algebra	2017	Anahita Eslami Rad Jean-Pierre Magnot Enríque G. Reyes	4
+	Holomorphic equivariant cohomology	1995	Kefeng Liu	4
+	Complete integrability of the Kadomtsev-Petviashvili equation	1984	Motohico Mulase	4
+ PDF Chat	Geometry and braiding of Stokes data; Fission and wild character varieties	2013	Philip Boalch	4
+	Contact Geometry and Non-linear Differential Equations	2006	Alexei Kushner Valentin Lychagin Vladimir Rubtsov	4
+ PDF Chat	Well-Posedness of the Kadomtsev–Petviashvili Hierarchy, Mulase Factorization, and Frölicher Lie Groups	2020	Jean-Pierre Magnot Enríque G. Reyes	4
+	Poisson structures on moduli spaces of representations	2010	William Crawley-Boevey	4
+ PDF Chat	Elliptic Quantum Groups $E_{\tau ,\eta } (\mathfrak{s}\mathfrak{l}_2 )$ and Quasi-Hopf Algebras	1998	Benjamin Enriquez Giovanni Felder	4
+	WHAT IS THE HAMILTONIAN FORMALISM?	1975	A. M. Vinogradov I. S. Krasil’shchik	4
+ PDF Chat	Monodromy- and spectrum-preserving deformations I	1980	H. Flaschka Alan C. Newell	4
+ PDF Chat	Invariant functions on Lie groups and Hamiltonian flows of surface group representations	1986	William M. Goldman	4
+ PDF Chat	Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids	2008	Camille Laurent-Gengoux Mathieu Stiénon Ping Xu	4
+	Solutions of the classical Yang - Baxter equation for simple Lie algebras	1983	A. A. Belavin Vladimir Drinfeld	4
+ PDF Chat	The Geometry of Three-Forms in Six Dimensions	2000	Nigel Hitchin	4
+ PDF Chat	Mirror symmetry for log Calabi-Yau surfaces I	2015	Mark Gross Paul Hacking Seán Keel	4
+	Double Poisson cohomology of path algebras of quivers	2007	Anne Pichereau Geert Van de Weyer	4
+ PDF Chat	Elliptic Algebra $\Apqsect$ in the Scaling Limit	1998	S. Khoroshkin D. V. Lebedev S. Pakuliak	4
+	Formal (Non)-Commutative Symplectic Geometry	1993	Maxim Kontsevich	4
+ PDF Chat	Hilbert Schemes, Separated Variables, and D-Branes	2001	A. Gorsky Nikita Nekrasov V. Rubtsov	4
+ PDF Chat	Integrable matrix equations related to pairs of compatible associative algebras	2006	A. V. Odesskiĭ В. В. Соколов	4
+	Ring theory from symplectic geometry	1998	Daniel R. Farkas Gail Letzter	3
+ PDF Chat	The discrete Korteweg-de Vries equation	1995	Frank Nijhoff H.W. Capel	3
+ PDF Chat	Dual isomonodromic deformations and moment maps to loop algebras	1994	J. Harnad	3
+ PDF Chat	Riemann–Roch for Real Varieties	2009	Paul Bressler Mikhail Kapranov Boris Tsygan Éric Vasserot	3
+	Heat Kernels and Dirac Operators	1992	Nicole Berline Ezra Getzler Michèle Vergne	3
+ PDF Chat	Poisson algebras and Yang-Baxter equations	2009	Travis Schedler	3
+	Matrix Painlevé systems	2015	Hiroshi Kawakami	3
+ PDF Chat	The Kadomtsev-Petviashvili hierarchy and the Mulase factorization of formal Lie groups	2013	Anahita Eslami Rad Enríque G. Reyes	3
+	CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS	1975	Vladimir I. Arnold	3
+ PDF Chat	Double Poisson brackets on free associative algebras	2013	Alexander Odesskii Vladimir Rubtsov В. Б. Соколов	3
+	On the Painlevé test for non-Abelian equations	1998	Сергей Павлович Баландин В. В. Соколов	3
+ PDF Chat	Factorization of differential operators, quasideterminants, and nonabelian Toda field equations	1997	Pavel Etingof Israel M. Gelfand Vladimir Retakh	3