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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: 61 Publications since 2001
Co-Authors: 17 Co-Authors with 40 Joint Publications
258 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 441 times in 98 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
37
2013
Hitchin systems – symplectic Hecke correspondence and two-dimensional version. Zbl 1088.14008
Levin, A. M.; Olshanetsky, M. A.; Zotov, A.
31
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.
26
2013
Spectrum of quantum transfer matrices via classical many-body systems. Zbl 1333.81244
Gorsky, A.; Zabrodin, A.; Zotov, A.
21
2014
Quantum Painlevé-Calogero correspondence. Zbl 1276.81083
Zabrodin, A.; Zotov, A.
19
2012
Painlevé VI, rigid tops and reflection equation. Zbl 1116.37038
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
15
2006
Planck constant as spectral parameter in integrable systems and KZB equations. Zbl 1333.81014
Levin, A.; Olshanetsky, M.; Zotov, A.
14
2014
Characteristic classes and Hitchin systems. General construction. Zbl 1252.30029
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
13
2012
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
Quantum Painlevé-Calogero correspondence for Painlevé VI. Zbl 1276.81082
Zabrodin, A.; Zotov, A.
13
2012
Elliptic linear problem for the Calogero–Inozemtsev model and Painlevé VI equation. Zbl 1053.34083
Zotov, A.
12
2004
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.
11
2013
Seiberg-Witten curves and double-elliptic integrable systems. Zbl 1388.81194
Aminov, G.; Braden, H. W.; Mironov, A.; Morozov, A.; Zotov, A.
11
2015
Rational top and its classical \(r\)-matrix. Zbl 1391.81091
Aminov, G.; Arthamonov, S.; Smirnov, A.; Zotov, A.
11
2014
Trigonometric version of quantum-classical duality in integrable systems. Zbl 1332.82064
Beketov, M.; Liashyk, A.; Zabrodin, A.; Zotov, A.
10
2016
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.
10
2014
Supersymmetric quantum spin chains and classical integrable systems. Zbl 1388.81159
Tsuboi, Zengo; Zabrodin, Anton; Zotov, Andrei
9
2015
Classification of isomonodromy problems on elliptic curves. Zbl 1297.14040
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
9
2014
Integrable model of interacting elliptic tops. Zbl 1177.37061
Zotov, A. V.; Levin, A. M.
8
2006
Quadratic algebras related to elliptic curves. Zbl 1160.37023
Zotov, A. V.; Levin, A. M.; Olshanetsky, M. A.; Chernyakov, Yu. B.
8
2008
\(R\)-matrix-valued Lax pairs and long-range spin chains. Zbl 1398.81111
Sechin, I.; Zotov, A.
7
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.
7
2018
Elliptic Schlesinger system and Painlevé VI. Zbl 1115.34082
Chernyakov, Yu; Levin, A. M.; Olshanetsky, M.; Zotov, A.
7
2006
Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painlevé VI equation. Zbl 1355.37075
Levin, A.; Olshanetsky, M.; Zotov, A.
7
2016
1+1 Gaudin model. Zbl 1242.14033
Zotov, Andrei V.
6
2011
Integrable many-body systems via the Inosemtsev limit. Zbl 1029.37037
Zotov, A. V.; Chernyakov, Yu. B.
6
2001
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
Generalized model of interacting integrable tops. Zbl 1427.81093
Grekov, A.; Sechin, I.; Zotov, A.
5
2019
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
On \(R\)-matrix valued Lax pairs for Calogero-Moser models. Zbl 1397.81461
Grekov, A.; Zotov, A.
4
2018
Relativistic elliptic matrix tops and finite Fourier transformations. Zbl 1378.70020
Zotov, A.
4
2017
Yang-Baxter equations with two Planck constants. Zbl 1342.81207
Levin, A.; Olshanetsky, M.; Zotov, A.
4
2016
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.
3
2019
Trigonometric integrable tops from solutions of associative Yang-Baxter equation. Zbl 1425.37039
Krasnov, T.; Zotov, A.
3
2019
Higher-order analogues of the unitarity condition for quantum \(R\)-matrices. Zbl 1359.16037
Zotov, A. V.
3
2016
KZ-Calogero correspondence revisited. Zbl 1369.37068
Zabrodin, A.; Zotov, A.
3
2017
Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian. Zbl 1380.37130
Zabrodin, A.; Zotov, A.
3
2018
Quantum-classical duality for Gaudin magnets with boundary. Zbl 1479.82093
Vasilyev, M.; Zabrodin, A.; Zotov, A.
2
2020
On rational and elliptic forms of Painlevé VI equation. Zbl 1130.14029
Levin, A.; Zotov, A.
2
2007
Monopoles and modifications of bundles over elliptic curves. Zbl 1187.14041
Levin, Andrey M.; Olshanetsky, Mikhail A.; Zotov, Andrei V.
2
2009
QKZ-Ruijsenaars correspondence revisited. Zbl 1373.81245
Zabrodin, A.; Zotov, A.
2
2017
Associative Yang-Baxter equation for quantum (semi-)dynamical R-matrices. Zbl 1370.16029
Sechin, Ivan; Zotov, Andrei
2
2016
Scalar products of Bethe vectors in the 8-vertex model. Zbl 1437.81037
Slavnov, N.; Zabrodin, A.; Zotov, A.
1
2020
On factorized Lax pairs for classical many-body integrable systems. Zbl 1430.14071
Vasilyev, Mikhail; Zotov, A.
1
2019
Calogero-Moser model and \(R\)-matrix identities. Zbl 1428.37055
Zotov, A. V.
1
2018
Quantum-classical duality for Gaudin magnets with boundary. Zbl 1479.82093
Vasilyev, M.; Zabrodin, A.; Zotov, A.
2
2020
Scalar products of Bethe vectors in the 8-vertex model. Zbl 1437.81037
Slavnov, N.; Zabrodin, A.; Zotov, A.
1
2020
Generalized model of interacting integrable tops. Zbl 1427.81093
Grekov, A.; Sechin, I.; Zotov, A.
5
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.
3
2019
Trigonometric integrable tops from solutions of associative Yang-Baxter equation. Zbl 1425.37039
Krasnov, T.; Zotov, A.
3
2019
On factorized Lax pairs for classical many-body integrable systems. Zbl 1430.14071
Vasilyev, Mikhail; Zotov, A.
1
2019
\(R\)-matrix-valued Lax pairs and long-range spin chains. Zbl 1398.81111
Sechin, I.; Zotov, A.
7
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.
7
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.
3
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.
3
2017
QKZ-Ruijsenaars correspondence revisited. Zbl 1373.81245
Zabrodin, A.; Zotov, A.
2
2017
Trigonometric version of quantum-classical duality in integrable systems. Zbl 1332.82064
Beketov, M.; Liashyk, A.; Zabrodin, A.; Zotov, A.
10
2016
Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painlevé VI equation. Zbl 1355.37075
Levin, A.; Olshanetsky, M.; Zotov, A.
7
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.
11
2015
Supersymmetric quantum spin chains and classical integrable systems. Zbl 1388.81159
Tsuboi, Zengo; Zabrodin, Anton; Zotov, Andrei
9
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.
21
2014
Planck constant as spectral parameter in integrable systems and KZB equations. Zbl 1333.81014
Levin, A.; Olshanetsky, M.; Zotov, A.
14
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.
10
2014
Classification of isomonodromy problems on elliptic curves. Zbl 1297.14040
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
9
2014
Spectral duality between Heisenberg chain and Gaudin model. Zbl 1262.14040
Mironov, Andrei; Morozov, Alexei; Runov, Boris; Zenkevich, Yegor; Zotov, Andrei
37
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.
26
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.
11
2013
Quantum Painlevé-Calogero correspondence. Zbl 1276.81083
Zabrodin, A.; Zotov, A.
19
2012
Characteristic classes and Hitchin systems. General construction. Zbl 1252.30029
Levin, A.; Olshanetsky, M.; Smirnov, A.; Zotov, A.
13
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
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.
6
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
Integrable model of interacting elliptic tops. Zbl 1177.37061
Zotov, A. V.; Levin, A. M.
8
2006
Elliptic Schlesinger system and Painlevé VI. Zbl 1115.34082
Chernyakov, Yu; Levin, A. M.; Olshanetsky, M.; Zotov, A.
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.
31
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 108 Authors

15 Morozov, Alexei Yurievich
15 Zotov, Andrei V.
11 Mironov, Andrei D.
10 Zenkevich, Yegor
8 Levin, Andrey M.
8 Olshanetsky, Mikhail A.
5 Awata, Hidetoshi
5 Kanno, Hiroaki
4 Chen, Heng-Yu
4 Gorskiĭ, Aleksandr Sergeevich
4 Koroteev, Peter
4 Pusztai, Béla Gábor
4 Smirnov, Andrey V.
4 Suleĭmanov, Bulat Irekovich
3 Arthamonov, Semeon
3 Grekov, A. M.
3 Runov, Boris A.
2 Aminov, G. A.
2 Bonelli, Giulio
2 Bourgine, Jean-Emile
2 Braden, Harry W.
2 Del Monte, Fabrizio
2 Fairon, Maxime
2 Fehér, László Gy.
2 Fioravanti, Davide
2 Gavrylenko, Pavlo
2 Görbe, Tamás F.
2 Gromov, Nikolay A.
2 Levkovich-Maslyuk, Fedor
2 Morozov, Andreĭ Alekseevich
2 Ohkubo, Yusuke
2 Pavlenko, Viktor Aleksandrovich
2 Pestun, Vasily
2 Ruijsenaars, Simon N. M.
2 Sechin, I. A.
2 Sechin, Ivan
2 Suetake, Kazuma
2 Tanzini, Alessandro
2 Vicedo, Benoît
1 Anokhina, A. S.
1 Atalikov, K.
1 Baseilhac, Pascal
1 Bazhanov, Vladimir V.
1 Bourget, Antoine
1 Bulycheva, K. M.
1 Bulycheva, Kseniya
1 Caudrelier, Vincent
1 Cavaglià, Andrea
1 Chen, Minru
1 Crampé, Nicolas
1 Cui, Jifeng
1 Dai, Jialiang
1 Dorey, Nick
1 Ekholm, Tobias
1 Elliott, Chris
1 Gaiotto, Davide
1 Gao, Bian
1 Grechishnikov, Leonid V.
1 Gruen, Angus
1 Gukov, Sergei
1 He, Jingsong
1 Hsin, Po-Shen
1 Khesin, Boris A.
1 Kimura, Taro
1 Koroteeva, Olesya
1 Kowalczyk-Murynka, Katarzyna
1 Krasnov, T.
1 Kucharski, Piotr
1 Kuś, Marek
1 Lee, Norton
1 Li, Chuanzhong
1 Liashyk, A. N.
1 Litvinov, Alekseĭ Viktorovich
1 Lu, Kang
1 Lukyanov, Sergei L.
1 Marshall, Ian
1 Matsumoto, Takuya
1 Mukhin, Evgeny
1 Nakamura, Akane
1 Nekrasov, Nikita Alexandrovich
1 Novikov, Dmitrii Petrovich
1 Odesskii, Alexander
1 Park, Sunghyuk
1 Pimenta, Rodrigo A.
1 Poberezhny, Vladimir
1 Rains, Eric M.
1 Rosengren, Hjalmar
1 Rubtsov, Vladimir Nikolaevich
1 Rudneva, D. S.
1 Schepers, Lucas
1 Shakirov, Shamil
1 Shatashvili, Samson L.
1 Sinkovics, Annamaria
1 Sizov, Grigory
1 Stoppato, Matteo
1 Stošić, Marko
1 Sułkowski, Piotr
1 Thompson, Daniel C.
1 Troost, Jan
1 Trunina, E. S.
...and 8 more Authors

Citations by Year