27 Publications (Page 1 of 2)
2019
Equivariant quantum differential equation, Stokes bases, and K-theory for a projective spaceTarasov, Vitaly and Varchenko, Alexander2019-01-09.
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q-hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theoremTarasov, Vitaly and Varchenko, AlexanderJournal of Geometry and Physics, vol. 142, pp. 212, August 2019.
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2017
q$-Hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theoremTarasov, Vitaly and Varchenko, Alexander2017-10-09.
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2016
Lower bounds for numbers of real solutions in problems of Schubert calculusMukhin, Evgeny⋅Mukhin, Evgeny⋅Mukhin, Evgeny⋅Tarasov, Vitaly⋅Tarasov, Vitaly and Tarasov, VitalyActa Mathematica, vol. 217, (no. 1), pp. 193, 20160900.
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Metrics with four conic singularities and spherical quadrilateralsEremenko, Alexandre⋅Eremenko, Alexandre⋅Eremenko, Alexandre⋅Gabrielov, Andrei⋅Gabrielov, Andrei⋅Gabrielov, Andrei⋅Tarasov, Vitaly⋅Tarasov, Vitaly and Tarasov, VitalyConformal Geometry and Dynamics of the American Mathematical Society, vol. 20, (no. 8), pp. 175, May 16, 2016.
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2015
Partial flag varieties, stable envelopes, and weight functionsRimányi, Richárd⋅Tarasov, Vitaly and Varchenko, AlexanderQuantum Topology, vol. 6, (no. 2), pp. 364, 20150000.
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2014
Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag varietyTarasov, Vitaly and Varchenko, AlexanderCentral European Journal of Mathematics, vol. 12, (no. 5), pp. 710, 20140500.
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Metrics with conic singularities and spherical polygonsEremenko, Alexandre⋅Eremenko, Alexandre⋅Eremenko, Alexandre⋅Gabrielov, Andrei⋅Gabrielov, Andrei⋅Gabrielov, Andrei⋅Tarasov, Vitaly⋅Tarasov, Vitaly and Tarasov, VitalyIllinois Journal of Mathematics, vol. 58, (no. 3), pp. 755, 2014-00-00.
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2013
Combinatorial Formulae for Nested Bethe VectorsTarasov, VitalySymmetry, Integrability and Geometry: Methods and Applications, vol. 9, pp. 048, 2013-07-19.
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On Conjectures of A. Eremenko and A. Gabrielov for Quasi-Exactly Solvable QuarticMukhin, Evgeny and Tarasov, VitalyLetters in Mathematical Physics, vol. 103, (no. 6), pp. 663, 20130600.
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XXZ-type Bethe ansatz equations and quasi-polynomialsLi, Jian Rong and Tarasov, VitalyJournal of Physics: Conference Series, vol. 411, pp. 12020, 2013-01-28.
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2012
Reality Property of Discrete Wronski Map with Imaginary StepMukhin, Evgeny⋅Mukhin, Evgeny⋅Tarasov, Vitaly⋅Tarasov, Vitaly⋅Varchenko, Alexander and Varchenko, AlexanderLetters in Mathematical Physics, vol. 100, (no. 2), pp. 160, 20120500.
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2011
Когомологии многообразия флагов как алгебра БетеВарченко, Александр Николаевич⋅Varchenko, Aleksandr Nikolaevich⋅Римани, Р⋅Rimanyi, Richard⋅Тарасов, Виталий Олегович⋅Tarasov, Vitaly Olegovich⋅Шехтман, Вадим В and Schechtman, Vadim VФункциональный анализ и его приложения, vol. 45, (no. 4), pp. 31, 2011-00-00.
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2009
The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatzMukhin, Evgeny⋅Tarasov, Vitaly and Varchenko, AlexanderAnnals of Mathematics, vol. 170, (no. 2), pp. 881, 20090901.
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2006
Bispectral and $(\mathfrak{gl}_{N},\mathfrak{gl}_{M})$ dualitiesMukhin, Evgenii⋅Tarasov, Vitaly and Varchenko, AlexanderFunctional Analysis and Other Mathematics, vol. 1, (no. 1), pp. 69, 20060700.
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2002
On irreducibility of tensor products of Yangian modules associated with skew Young diagramsTarasov, Vitaly and Nazarov, MaximDuke Mathematical Journal, vol. 112, (no. 2), pp. 378, 2002-04-00.
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1999
Bilinear identity for q-hypergeometric integralsTarasov, VitalyOsaka J. Math, vol. 36, (no. no. 2), pp. 436, 1999.
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Determinant Formula for Solutions of the Quantum Knizhnik–Zamolodchikov Equation Associated with Uq(sln) at |q| = 1Miwa, Tetsuji⋅Takeyama, Yoshihiro and Tarasov, VitalyPublications of the Research Institute for Mathematical Sciences, vol. 35, (no. 6), pp. 892, 19990000.
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1998
Representations of Yangians with GelfandZetlin basesNazarov, Maxim and Tarasov, VitalyJournal für die reine und angewandte Mathematik (Crelles Journal), vol. 1998, (no. 496), pp. 212, 1998-03-02.
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1997
Bilinear Identity for q-Hypergeometric IntegralsTarasov, Vitaly1997-08-31.
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Geometry of q-Hypergeometric Functions, Quantum Affine Algebras and Elliptic Quantum GroupsTarasov, Vitaly and Varchenko, Alexander1997-03-27.
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Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equationsFelder, Giovanni⋅Tarasov, Vitaly and Varchenko, Alexander1997-05-26.
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1994
Asymptotic Solutions to the Quantized Knizhnik-Zamolodchikov Equation and Bethe VectorsTarasov, Vitaly and Varchenko, Alexander1994-06-09.
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Yangians and Gelfand-Zetlin BasesNazarov, Maxim and Tarasov, VitalyPublications of the Research Institute for Mathematical Sciences, vol. 30, (no. 3), pp. 478, 19940000.
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1993
Cyclic monodromy matrices for {\rm sl}(n) trigonometric R-matricesTarasov, VitalyComm. Math. Phys, vol. 158, (no. no. 3), pp. 483, 1993.
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