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Zotov, Andrei V.

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Author ID: zotov.andrei-v Recent zbMATH articles by "Zotov, Andrei V."
Published as: Zotov, A.; Zotov, A. V.; Zotov, Andrei V.; Zotov, Andrei
Documents Indexed: 58 Publications since 2001

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Citations contained in zbMATH Open

47 Publications have been cited 407 times in 125 Documents Cited by Year
Spectral duality between Heisenberg chain and Gaudin model. Zbl 1262.14040
Mironov, Andrei; Morozov, Alexei; Runov, Boris; Zenkevich, Yegor; Zotov, Andrei
36
2013
Hitchin systems – symplectic Hecke correspondence and two-dimensional version. Zbl 1088.14008
Levin, A. M.; Olshanetsky, M. A.; Zotov, A.
28
2003
Spectral dualities in XXZ spin chains and five dimensional gauge theories. Zbl 1342.81310
Mironov, A.; Morozov, A.; Runov, B.; Zenkevich, Y.; Zotov, A.
25
2013
Spectrum of quantum transfer matrices via classical many-body systems. Zbl 1333.81244
Gorsky, A.; Zabrodin, A.; Zotov, A.
19
2014
Quantum Painlevé-Calogero correspondence. Zbl 1276.81083
Zabrodin, A.; Zotov, A.
18
2012
Painlevé VI, rigid tops and reflection equation. Zbl 1116.37038
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
15
2006
Characteristic classes of \(SL(N, \mathbb C)\)-bundles and quantum dynamical elliptic R-matrices. Zbl 1273.81117
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
13
2013
Calogero-Moser systems for simple Lie groups and characteristic classes of bundles. Zbl 1261.37031
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
13
2012
Planck constant as spectral parameter in integrable systems and KZB equations. Zbl 1333.81014
Levin, A.; Olshanetsky, M.; Zotov, A.
13
2014
Quantum Painlevé-Calogero correspondence for Painlevé VI. Zbl 1276.81082
Zabrodin, A.; Zotov, A.
13
2012
Modifications of bundles, elliptic integrable systems, and related problems. Zbl 1417.37209
Zotov, A. V.; Smirnov, A. V.
12
2013
Characteristic classes and Hitchin systems. General construction. Zbl 1252.30029
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
12
2012
Elliptic linear problem for the Calogero–Inozemtsev model and Painlevé VI equation. Zbl 1053.34083
Zotov, A.
12
2004
Rational top and its classical \(r\)-matrix. Zbl 1391.81091
Aminov, G.; Arthamonov, S.; Smirnov, A.; Zotov, A.
11
2014
Classical \(r\)-matrices and the Feigin-Odesskii algebra via Hamiltonian and Poisson reductions. Zbl 1046.81077
Braden, H. W.; Dolgushev, V. A.; Olshanetsky, M. A.; Zotov, A. V.
10
2003
Classical integrable systems and soliton equations related to eleven-vertex \(R\)-matrix. Zbl 1325.82014
Levin, A.; Olshanetsky, M.; Zotov, A.
9
2014
Three-particle integrable systems with elliptic dependence on momenta and theta function identities. Zbl 1331.81135
Aminov, G.; Mironov, A.; Morozov, A.; Zotov, A.
9
2013
Trigonometric version of quantum-classical duality in integrable systems. Zbl 1332.82064
Beketov, M.; Liashyk, A.; Zabrodin, A.; Zotov, A.
9
2016
Classification of isomonodromy problems on elliptic curves. Zbl 1297.14040
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
8
2014
Quadratic algebras related to elliptic curves. Zbl 1160.37023
Zotov, A. V.; Levin, A. M.; Olshanetsky, M. A.; Chernyakov, Yu. B.
8
2008
Seiberg-Witten curves and double-elliptic integrable systems. Zbl 1388.81194
Aminov, G.; Braden, H. W.; Mironov, A.; Morozov, A.; Zotov, A.
8
2015
Supersymmetric quantum spin chains and classical integrable systems. Zbl 1388.81159
Tsuboi, Zengo; Zabrodin, Anton; Zotov, Andrei
8
2015
Elliptic Schlesinger system and Painlevé VI. Zbl 1115.34082
Chernyakov, Yu; Levin, A. M.; Olshanetsky, M.; Zotov, A.
7
2006
Integrable model of interacting elliptic tops. Zbl 1177.37061
Zotov, A. V.; Levin, A. M.
7
2006
Quantum Baxter-Belavin \(R\)-matrices and multidimensional Lax pairs for Painlevé VI. Zbl 1327.81187
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
6
2015
\(R\)-matrix-valued Lax pairs and long-range spin chains. Zbl 1398.81111
Sechin, I.; Zotov, A.
6
2018
Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins. Zbl 1408.53035
Kharchev, S.; Levin, A.; Olshanetsky, M.; Zotov, A.
6
2018
Classical-quantum correspondence and functional relations for Painlevé equations. Zbl 1325.81167
Zabrodin, A.; Zotov, A.
6
2015
Integrable many-body systems via the Inosemtsev limit. Zbl 1029.37037
Zotov, A. V.; Chernyakov, Yu. B.
6
2001
Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painlevé VI equation. Zbl 1355.37075
Levin, A.; Olshanetsky, M.; Zotov, A.
6
2016
Hecke transformations of conformal blocks in WZW theory. I: KZB equations for non-trivial bundles. Zbl 1270.14018
Levin, Andrey M.; Olshanetsky, Mikhail A.; Smirnov, Andrey V.; Zotov, Andrei V.
5
2012
1+1 Gaudin model. Zbl 1242.14033
Zotov, Andrei V.
5
2011
On \(R\)-matrix valued Lax pairs for Calogero-Moser models. Zbl 1397.81461
Grekov, A.; Zotov, A.
4
2018
Yang-Baxter equations with two Planck constants. Zbl 1342.81207
Levin, A.; Olshanetsky, M.; Zotov, A.
4
2016
Relativistic elliptic matrix tops and finite Fourier transformations. Zbl 1378.70020
Zotov, A.
4
2017
Generalized model of interacting integrable tops. Zbl 1427.81093
Grekov, A.; Sechin, I.; Zotov, A.
4
2019
Trigonometric integrable tops from solutions of associative Yang-Baxter equation. Zbl 1425.37039
Krasnov, T.; Zotov, A.
3
2019
Relativistic interacting integrable elliptic tops. Zbl 1441.81107
Zotov, A. V.
3
2019
Higher-order analogues of the unitarity condition for quantum \(R\)-matrices. Zbl 1359.16037
Zotov, A. V.
3
2016
On rational and elliptic forms of Painlevé VI equation. Zbl 1130.14029
Levin, A.; Zotov, A.
2
2007
Associative Yang-Baxter equation for quantum (semi-)dynamical R-matrices. Zbl 1370.16029
Sechin, Ivan; Zotov, Andrei
2
2016
Monopoles and modifications of bundles over elliptic curves. Zbl 1187.14041
Levin, Andrey M.; Olshanetsky, Mikhail A.; Zotov, Andrei V.
2
2009
KZ-Calogero correspondence revisited. Zbl 1369.37068
Zabrodin, A.; Zotov, A.
2
2017
Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian. Zbl 1380.37130
Zabrodin, A.; Zotov, A.
2
2018
QKZ-Ruijsenaars correspondence revisited. Zbl 1373.81245
Zabrodin, A.; Zotov, A.
1
2017
Supersymmetric extension of qKZ-Ruijsenaars correspondence. Zbl 1409.81185
Grekov, A.; Zabrodin, A.; Zotov, A.
1
2019
Calogero-Moser model and \(R\)-matrix identities. Zbl 1428.37055
Zotov, A. V.
1
2018
Generalized model of interacting integrable tops. Zbl 1427.81093
Grekov, A.; Sechin, I.; Zotov, A.
4
2019
Trigonometric integrable tops from solutions of associative Yang-Baxter equation. Zbl 1425.37039
Krasnov, T.; Zotov, A.
3
2019
Relativistic interacting integrable elliptic tops. Zbl 1441.81107
Zotov, A. V.
3
2019
Supersymmetric extension of qKZ-Ruijsenaars correspondence. Zbl 1409.81185
Grekov, A.; Zabrodin, A.; Zotov, A.
1
2019
\(R\)-matrix-valued Lax pairs and long-range spin chains. Zbl 1398.81111
Sechin, I.; Zotov, A.
6
2018
Quasi-compact Higgs bundles and Calogero-Sutherland systems with two types of spins. Zbl 1408.53035
Kharchev, S.; Levin, A.; Olshanetsky, M.; Zotov, A.
6
2018
On \(R\)-matrix valued Lax pairs for Calogero-Moser models. Zbl 1397.81461
Grekov, A.; Zotov, A.
4
2018
Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian. Zbl 1380.37130
Zabrodin, A.; Zotov, A.
2
2018
Calogero-Moser model and \(R\)-matrix identities. Zbl 1428.37055
Zotov, A. V.
1
2018
Relativistic elliptic matrix tops and finite Fourier transformations. Zbl 1378.70020
Zotov, A.
4
2017
KZ-Calogero correspondence revisited. Zbl 1369.37068
Zabrodin, A.; Zotov, A.
2
2017
QKZ-Ruijsenaars correspondence revisited. Zbl 1373.81245
Zabrodin, A.; Zotov, A.
1
2017
Trigonometric version of quantum-classical duality in integrable systems. Zbl 1332.82064
Beketov, M.; Liashyk, A.; Zabrodin, A.; Zotov, A.
9
2016
Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painlevé VI equation. Zbl 1355.37075
Levin, A.; Olshanetsky, M.; Zotov, A.
6
2016
Yang-Baxter equations with two Planck constants. Zbl 1342.81207
Levin, A.; Olshanetsky, M.; Zotov, A.
4
2016
Higher-order analogues of the unitarity condition for quantum \(R\)-matrices. Zbl 1359.16037
Zotov, A. V.
3
2016
Associative Yang-Baxter equation for quantum (semi-)dynamical R-matrices. Zbl 1370.16029
Sechin, Ivan; Zotov, Andrei
2
2016
Seiberg-Witten curves and double-elliptic integrable systems. Zbl 1388.81194
Aminov, G.; Braden, H. W.; Mironov, A.; Morozov, A.; Zotov, A.
8
2015
Supersymmetric quantum spin chains and classical integrable systems. Zbl 1388.81159
Tsuboi, Zengo; Zabrodin, Anton; Zotov, Andrei
8
2015
Quantum Baxter-Belavin \(R\)-matrices and multidimensional Lax pairs for Painlevé VI. Zbl 1327.81187
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
6
2015
Classical-quantum correspondence and functional relations for Painlevé equations. Zbl 1325.81167
Zabrodin, A.; Zotov, A.
6
2015
Spectrum of quantum transfer matrices via classical many-body systems. Zbl 1333.81244
Gorsky, A.; Zabrodin, A.; Zotov, A.
19
2014
Planck constant as spectral parameter in integrable systems and KZB equations. Zbl 1333.81014
Levin, A.; Olshanetsky, M.; Zotov, A.
13
2014
Rational top and its classical \(r\)-matrix. Zbl 1391.81091
Aminov, G.; Arthamonov, S.; Smirnov, A.; Zotov, A.
11
2014
Classical integrable systems and soliton equations related to eleven-vertex \(R\)-matrix. Zbl 1325.82014
Levin, A.; Olshanetsky, M.; Zotov, A.
9
2014
Classification of isomonodromy problems on elliptic curves. Zbl 1297.14040
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
8
2014
Spectral duality between Heisenberg chain and Gaudin model. Zbl 1262.14040
Mironov, Andrei; Morozov, Alexei; Runov, Boris; Zenkevich, Yegor; Zotov, Andrei
36
2013
Spectral dualities in XXZ spin chains and five dimensional gauge theories. Zbl 1342.81310
Mironov, A.; Morozov, A.; Runov, B.; Zenkevich, Y.; Zotov, A.
25
2013
Characteristic classes of \(SL(N, \mathbb C)\)-bundles and quantum dynamical elliptic R-matrices. Zbl 1273.81117
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
13
2013
Modifications of bundles, elliptic integrable systems, and related problems. Zbl 1417.37209
Zotov, A. V.; Smirnov, A. V.
12
2013
Three-particle integrable systems with elliptic dependence on momenta and theta function identities. Zbl 1331.81135
Aminov, G.; Mironov, A.; Morozov, A.; Zotov, A.
9
2013
Quantum Painlevé-Calogero correspondence. Zbl 1276.81083
Zabrodin, A.; Zotov, A.
18
2012
Calogero-Moser systems for simple Lie groups and characteristic classes of bundles. Zbl 1261.37031
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
13
2012
Quantum Painlevé-Calogero correspondence for Painlevé VI. Zbl 1276.81082
Zabrodin, A.; Zotov, A.
13
2012
Characteristic classes and Hitchin systems. General construction. Zbl 1252.30029
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
12
2012
Hecke transformations of conformal blocks in WZW theory. I: KZB equations for non-trivial bundles. Zbl 1270.14018
Levin, Andrey M.; Olshanetsky, Mikhail A.; Smirnov, Andrey V.; Zotov, Andrei V.
5
2012
1+1 Gaudin model. Zbl 1242.14033
Zotov, Andrei V.
5
2011
Monopoles and modifications of bundles over elliptic curves. Zbl 1187.14041
Levin, Andrey M.; Olshanetsky, Mikhail A.; Zotov, Andrei V.
2
2009
Quadratic algebras related to elliptic curves. Zbl 1160.37023
Zotov, A. V.; Levin, A. M.; Olshanetsky, M. A.; Chernyakov, Yu. B.
8
2008
On rational and elliptic forms of Painlevé VI equation. Zbl 1130.14029
Levin, A.; Zotov, A.
2
2007
Painlevé VI, rigid tops and reflection equation. Zbl 1116.37038
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
15
2006
Elliptic Schlesinger system and Painlevé VI. Zbl 1115.34082
Chernyakov, Yu; Levin, A. M.; Olshanetsky, M.; Zotov, A.
7
2006
Integrable model of interacting elliptic tops. Zbl 1177.37061
Zotov, A. V.; Levin, A. M.
7
2006
Elliptic linear problem for the Calogero–Inozemtsev model and Painlevé VI equation. Zbl 1053.34083
Zotov, A.
12
2004
Hitchin systems – symplectic Hecke correspondence and two-dimensional version. Zbl 1088.14008
Levin, A. M.; Olshanetsky, M. A.; Zotov, A.
28
2003
Classical \(r\)-matrices and the Feigin-Odesskii algebra via Hamiltonian and Poisson reductions. Zbl 1046.81077
Braden, H. W.; Dolgushev, V. A.; Olshanetsky, M. A.; Zotov, A. V.
10
2003
Integrable many-body systems via the Inosemtsev limit. Zbl 1029.37037
Zotov, A. V.; Chernyakov, Yu. B.
6
2001
all top 5

Cited by 125 Authors

25 Zotov, Andrei V.
15 Morozov, Alexei Yurievich
11 Mironov, Andrei D.
11 Zenkevich, Yegor
9 Levin, Andrey M.
8 Olshanetsky, Mikhail A.
6 Aminov, G. A.
6 Gorskiĭ, Aleksandr Sergeevich
5 Awata, Hidetoshi
5 Kanno, Hiroaki
4 Bourgine, Jean-Emile
4 Chen, Heng-Yu
4 Koroteev, Peter
4 Pusztai, Béla Gábor
4 Runov, Boris A.
4 Suleĭmanov, Bulat Irekovich
3 Arthamonov, Semeon
3 Grekov, A. M.
3 Pestun, Vasily
3 Sechin, I. A.
3 Slavnov, Nikita A.
3 Smirnov, Andrey V.
3 Zabrodin, Anton V.
2 Bazhanov, Vladimir V.
2 Belliard, Samuel
2 Bonelli, Giulio
2 Braden, Harry W.
2 Bulycheva, Kseniya
2 Del Monte, Fabrizio
2 Fairon, Maxime
2 Fioravanti, Davide
2 Gavrylenko, Pavlo
2 Görbe, Tamás F.
2 Gromov, Nikolay
2 Kimura, Taro
2 Levkovich-Maslyuk, Fedor
2 Liashyk, A. N.
2 Lukyanov, Sergei L.
2 Milekhin, Alexey
2 Morozov, Andreĭ Alekseevich
2 Ohkubo, Yusuke
2 Pavlenko, Viktor Aleksandrovich
2 Sechin, Ivan
2 Sheĭnman, Oleg Karlovich
2 Suetake, Kazuma
2 Tanzini, Alessandro
2 Yan, Zhaowen
1 Anokhina, A. S.
1 Ardehali, Arash Arabi
1 Artamonov, Dmitry V.
1 Arutyunov, Gleb Eduardovich
1 Atalikov, K.
1 Baseilhac, Pascal
1 Ben-Zvi, David
1 Bourget, Antoine
1 Bulycheva, K. M.
1 Caudrelier, Vincent
1 Cavaglià, Andrea
1 Chalykh, Oleg A.
1 Chen, Minru
1 Crampé, Nicolas
1 Cui, Jifeng
1 Dai, Jialiang
1 Dorey, Nick
1 Dotsenko, E. I.
1 Elliott, Chris
1 Gaiotto, Davide
1 Galleas, Wellington
1 Gao, Bian
1 Gegenhasi
1 Grechishnikov, Leonid V.
1 Gukov, Sergei
1 He, Jingsong
1 Hong, Junho
1 Hsin, Po-Shen
1 Khesin, Boris A.
1 Klabbers, Rob
1 Krasnov, T.
1 Lee, Norton
1 Li, Chuanzhong
1 Litvinov, Alekseĭ Viktorovich
1 Liu, James T.
1 Lu, Kang
1 Mata-Gutiérrez, Osbaldo
1 Matsumoto, Takuya
1 Mitev, Vladimir
1 Motegi, Kohei
1 Mukhin, Evgeny
1 Nakamura, Akane
1 Nedelin, Anton
1 Nekrasov, Nikita Alexandrovich
1 Neumann, Frank
1 Nevins, Thomas Andrew
1 Novikov, Dmitrii Petrovich
1 Odesskii, Alexander
1 Olivucci, Enrico
1 Pasquetti, Sara
1 Pei, Du
1 Pimenta, Rodrigo A.
1 Poberezhny, Vladimir
...and 25 more Authors

Citations by Year