V. Tarasov

发表

Duality for Bethe algebras acting on polynomials in anticommuting variables

V. Tarasov, F. Uvarov, 2019, 1907.02117.

Elliptic and K-theoretic stable envelopes and Newton polytopes

A. Varchenko, V. Tarasov, Richárd Rimányi, 2017, Selecta Mathematica.

bundle of a partial flag variety

A. Varchenko, V. Tarasov, 2014 .

Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety

A. Varchenko, V. Tarasov, Alexander Varchenko, 2013, 1301.2705.

Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra

A. Varchenko, V. Tarasov, Richárd Rimányi, 2012, 1204.5138.

Combinatorial Formulae for Nested Bethe Vectors

A. Varchenko, V. Tarasov, 2007, math/0702277.

KZ Characteristic Variety as the Zero Set of Classical Calogero{Moser Hamiltonians

A. Varchenko, V. Tarasov, E. Mukhin, 2012, 1201.3990.

Cohomology of a flag variety as a Yangian Bethe algebra

A. Varchenko, V. Tarasov, Richárd Rimányi, 2012 .

Three sides of the geometric Langlands correspondence for gl_N Gaudin model and Bethe vector averaging maps

A. Varchenko, V. Tarasov, E. Mukhin, 2009, 0907.3266.

ON SEPARATION OF VARIABLES AND COMPLETENESS OF THE BETHE ANSATZ FOR QUANTUM N GAUDIN MODEL

A. Varchenko, V. Tarasov, E. Mukhin, 2007, Glasgow Mathematical Journal.

Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel ?

A. Varchenko, V. Tarasov, E. Mukhin, 2007, math/0703893.

On the new form of Bethe ansatz equations and separation of variables in the $sl_3$ Gaudin model

A. Varchenko, V. Tarasov, E. Mukhin, 2006 .

Bethe eigenvectors of higher transfer matrices

Alexander Varchenko, Evgeny Mukhin, A. Varchenko, 2006 .

Higher Lame Equations and Critical Points of Master Functions

E. Mukhin, A. Varchenko, A. Varchenko, 2006 .

Duality for Knizhinik-Zamolodchikov and Dynamical Equations, and Hypergeometric Integrals

V. Tarasov, 2005 .

Dynamical Differential Equations Compatible with Rational qKZ Equations

A. Varchenko, V. Tarasov, 2005 .

The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz

E. Mukhin, A. Varchenko, A. Varchenko, 2005 .

Selberg-Type Integrals Associated with SL3

A. Varchenko, V. Tarasov, A. Varchenko, 2003 .

Difference equations compatible with trigonometric KZ differential equations

A. Varchenko, V. Tarasov, 2000, math/0002132.

V.Tarasov, Determinant formula for solutions of the Uq(sln) qKZ equation |q

T. Miwa, Y. Takeyama, V. Tarasov, 1999 .

Determinat formula for solutions of the $U_q(sl_n)$ qKZ equation at $|q|=1$

T. Miwa, Y. Takeyama, V. Tarasov, 1999, math/9905137.

Determinant formula for solutions of the quantum Knizhnik-Zamolodchikov equation associated with U q (sl n ) at

T. Miwa, Y. Takeyama, V. Tarasov, 1999 .

On solutions of the KZ and qKZ equations at level zero

V. Tarasov, A. Nakayashiki, S. Pakuliak, 1997, q-alg/9712002.

Solutions to the Quantized Knizhnik-Zamolodchikov Equation and the Bethe Ansatz

A. Varchenko, V. Tarasov, 1994 .

Cohomology of a flag variety as a Bethe algebra

A. Varchenko, V. Tarasov, Richárd Rimányi, 2011 .

Когомологии многообразия флагов как алгебра Бете@@@Cohomology of a flag variety as a Bethe algebra

A. Varchenko, V. Tarasov, Richárd Rimányi, 2011 .

A classical version of the lattice sine-Gordon model

V. Tarasov, 1986 .

Representations of Yangians with Gelfand-Zetlin Bases

V. Tarasov, M. Nazarov, 1995, q-alg/9502008.

Difference equations compatible with trigonometric KZ differential equations

A. Varchenko, V. Tarasov, 2000, math/0002132.

Bilinear identity for q-hypergeometric integrals

V. Tarasov, 1997, q-alg/9709001.

70 90 01 v 1 1 S ep 1 99 7 Bilinear identity for q-hypergeometric integrals

V. Tarasov, 1997 .

Initial boundary value problem for the nonlinear Schrodinger equation

V. Tarasov, R. Bikbaev, 1991 .

Boundary-value problem for the nonlinear Schrödinger equation

V. Tarasov, 1991 .

Equivariant quantum differential equation, Stokes bases, and K-theory for a projective space

A. Varchenko, V. Tarasov, 2019, European Journal of Mathematics.

q-hypergeometric solutions of quantum differential equations, quantum Pieri rules, and Gamma theorem

A. Varchenko, V. Tarasov, 2017, Journal of Geometry and Physics.

Jackson Integral Representations for Solutions to the Quantized Knizhnik-Zamolodchikov Equation

A. Varchenko, V. Tarasov, 1993, hep-th/9311040.

Representations of Yangians with Gelfand-Zetlin Bases

V. Tarasov, M. Nazarov, 1995, q-alg/9502008.

Yangians and Gelfand-Zetlin Bases

V. Tarasov, M. Nazarov, 1993, hep-th/9302102.

Metrics with conic singularities and spherical polygons

A. Gabrielov, A. Eremenko, V. Tarasov, 2014, 1405.1738.

The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz

A. Varchenko, V. Tarasov, E. Mukhin, 2005, math/0512299.

Higher Lame Equations and Critical Points of Master Functions

A. Varchenko, V. Tarasov, E. Mukhin, 2006, math/0601703.

Quantized Reduced Fusion Elements and Kostant’s Problem

V. Tarasov, A. Stolin, E. Karolinsky, 2014 .

Equivariant quantization of Poisson homogeneous spaces and Kostant's problem

V. Tarasov, A. Stolin, E. Karolinsky, 2009, 0908.0349.

On Irreducibility of Tensor Products of Yangian Modules

Maxim Nazarov, Vitaly Tarasov, V. Tarasov, 1997, math/0012039.

Gaudin Hamiltonians generate the Bethe algebra of a tensor power of vector representation of gl_N

A. Varchenko, V. Tarasov, E. Mukhin, 2009, 0904.2131.

Algebraic bethe ansatz for the Izergin-Korepin R matrix

V. Tarasov, 1988 .

Irreducible monodromy matrices for the R matrix of the XXZ model and local lattice quantum Hamiltonians

V. Tarasov, 1985 .

Structure of quantum L operators for the R matrix of the XXZ model

V. Tarasov, 1984 .

Local Hamiltonians for integrable quantum models on a lattice. II

V. Tarasov, 1983 .

Bethe Algebra of Homogeneous XXX Heisenberg Model has Simple Spectrum

A. Varchenko, V. Tarasov, E. Mukhin, 2007, 0706.0688.

Local Hamiltonians for integrable quantum models on a lattice

L. Faddeev, V. Tarasov, L. A. Takhtadzhyan, 1983 .

CYCLIC MONODROMY MATRICES FOR THE R-MATRIX OF THE SIX-VERTEX MODEL AND THE CHIRAL POTTS MODEL WITH FIXED SPIN BOUNDARY CONDITIONS

V. Tarasov, 1992 .

Spaces of quasi-exponentials and representations of the Yangian Y(gl_N)

A. Varchenko, V. Tarasov, E. Mukhin, 2013, 1303.1578.

The integrable initial-boundary value problem on a semiline : nonlinear Schrödinger and sine-Gordon equations

V O Tarasov, V. Tarasov, 1991 .

Boundary-value problem for nonlinear Schrödinger equation

V. Tarasov, P. Bibikov, 1989 .

Trigonometric weight functions as K-theoretic stable envelope maps for the cotangent bundle of a flag variety

A. Varchenko, V. Tarasov, Richárd Rimányi, 2014, 1411.0478.

Q A ] 1 2 Fe b 20 03 Selberg Type Integrals Associated with sl 3

A. Varchenko, V. Tarasov, 2022 .

On a new form of Bethe ansatz equations and separation of variables in the $$\mathfrak{s}\mathfrak{l}_3 $$ Gaudin model

V. Tarasov, E. Mukhin, V. Schechtman, 2007 .

Combinatorial Formulae for Nested Bethe Vectors

A. Varchenko, V. Tarasov, 2007, math/0702277.

Off-shell Bethe vectors and Drinfeld currents

V. Tarasov, S. Pakuliak, S. Khoroshkin, 2006, math/0610517.

Q A ] 2 1 Ja n 20 08 SPACES OF QUASI-EXPONENTIALS AND REPRESENTATIONS OF gl

A. Varchenko, V. Tarasov, E. Mukhin, 2018 .

Partial flag varieties, stable envelopes and weight functions

A. Varchenko, V. Tarasov, Richárd Rimányi, 2012, 1212.6240.

Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integral

P. Zinn-Justin, A. Varchenko, V. Tarasov, 2011, 1110.2187.

The gl_2 Bethe algebra associated with a nilpotent element

A. Varchenko, V. Tarasov, E. Mukhin, 2008, 0810.2257.

Spaces of quasi-exponentials and representations of

A. Varchenko, V. Tarasov, E. Mukhin, 2008, 0801.3120.

Schubert calculus and representations of the general linear group

E. Mukhin, A. Varchenko, A. Varchenko, 2007, 0711.4079.

Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel ?

A. Varchenko, V. Tarasov, E. Mukhin, 2007, math/0703893.

Duality for Knizhnik–Zamolodchikov and Dynamical Equations

A. Varchenko, V. Tarasov, A. Varchenko, 2001, math/0112005.

Cyclic monodromy matrices forsl(n) trigonometricR-matrices

V. Tarasov, 1992, hep-th/9211105.

Bethe subalgebras in affine Birman–Murakami–Wenzl algebras and flat connections for q-KZ equations

A. Kirillov, V. Tarasov, A. Isaev, 2015, 1510.05374.

Completeness of the Bethe Ansatz for the Periodic Isotropic Heisenberg Model

V. Tarasov, 2018 .

Reality Property of Discrete Wronski Map with Imaginary Step

A. Varchenko, V. Tarasov, E. Mukhin, 2011, 1102.5368.

On reality property of Wronski maps

Alexander Varchenko, Evgeny Mukhin, A. Varchenko, 2007, 0710.5856.

Asymptotic solutions to the quantized Knizhnik-Zamolodchikov equation and Bethe vectors

A. Varchenko, V. Tarasov, 1994, hep-th/9406060.

Bethe subalgebras of the group algebra of the symmetric group

V. Tarasov, E. Mukhin, A. Varchenko, 2010 .

Differential Equations Compatible with KZ Equations

G. Felder, A. Varchenko, V. Tarasov, 2000, math/0001184.

Bispectral and (glN, glM) dualities, discrete versus differential

A. Varchenko, V. Tarasov, E. Mukhin, 2008 .

Irreducible highest weight modules and equivariant quantization

V. Tarasov, A. Stolin, E. Karolinsky, 2005, math/0507348.

Q A ] 1 7 Ju l 2 00 5 Irreducible highest-weight modules and equivariant quantization

V. Tarasov, A. Stolin, E. Karolinsky, 2005 .

Dynamical Yang–Baxter Equations, Quasi-Poisson Homogeneous Spaces, and Quantization

V. Tarasov, A. Stolin, E. Karolinsky, 2003, math/0309203.

How to regularize singular vectors and kill the dynamical Weyl group

A. Varchenko, V. Tarasov, K. Styrkas, 2002, math/0206294.

SPACES OF QUASI-EXPONENTIALS AND REPRESENTATIONS OF THE YANGIAN $$ Y\left( {\mathfrak{g}{{\mathfrak{l}}_N}} \right) $$

A. Varchenko, V. Tarasov, E. Mukhin, 2014 .

Bethe algebra of the gl_{N+1} Gaudin model and algebra of functions on the critical set of the master function

V. Tarasov, E. Mukhin, A.Varchenko, 2009, 0910.4690.

Bethe Algebra of Gaudin Model, Calogero–Moser Space, and Cherednik Algebra

A. Varchenko, V. Tarasov, E. Mukhin, 2009, 0906.5185.

3 1 Ja n 20 00 Differential Equations Compatible with KZ Equations

G. Felder, A. Varchenko, V. Tarasov, 2008 .

Transfer matrix of the superintegrable chiral Potts model. Bethe ansatz spectrum

V. Tarasov, 1990 .

On Bethe Vectors for the XXZ Model at Roots of Unity

V. Tarasov, 2003 .

11 Classification of spherical quadrilaterals with two adjacent non-integer corners

A. Gabrielov, A. Eremenko, V. Tarasov, 2015 .

Metrics with four conic singularities and spherical quadrilaterals

A. Gabrielov, A. Eremenko, V. Tarasov, 2014, 1409.1529.

Monodromy of solutions of the elliptic quantum Knizhnik-Zamolodchikov-Bernard difference equations

G. Felder, A. Varchenko, V. Tarasov, 1997, q-alg/9705017.

A Generalization of the Capelli Identity

A. Varchenko, V. Tarasov, E. Mukhin, 2006, math/0610799.

Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups

A. Varchenko, V. Tarasov, 1997, q-alg/9703044.

Geometry of q-hypergeometric functions as a bridge between Yangians and quantum affine algebras

A. Varchenko, V. Tarasov, 1996, q-alg/9604011.

Bethe eigenvectors of higher transfer matrices

A. Varchenko, V. Tarasov, E. Mukhin, 2006, math/0605015.

Determinat formula for solutions of the $U_q(sl_n)$ qKZ equation at $|q|=1$

T. Miwa, Y. Takeyama, V. Tarasov, 1999, math/9905137.

Duality for Knizhnik-Zamolodchikov and Dynamical Operators

V. Tarasov, F. Uvarov, 2019, Symmetry, Integrability and Geometry: Methods and Applications.

Bispectral and (gl_N, gl_M) Dualities, Discrete Versus Differential

A. Varchenko, V. Tarasov, E. Mukhin, 2006, math/0605172.

Duality for Knizhinik-Zamolodchikov and Dynamical Equations, and Hypergeometric Integrals

V. Tarasov, V.Tarasov, 2004, math/0401245.

Identities between q -hypergeometric and hypergeometric integrals of different dimensions

A. Varchenko, V. Tarasov, 2003, math/0309372.

Small Elliptic Quantum Group $e_{tau,\gamma}(sl_N)$

A. Varchenko, V. Tarasov, 2000 .

A ] 2 0 N ov 2 00 0 Small Elliptic Quantum Group e τ , γ ( sl N )

A. Varchenko, V. Tarasov, 2022 .

Duality for Knizhnik-zamolodchikov and Dynamical Equations

A. Varchenko, V. Tarasov, 2022 .

Spherical quadrilaterals with three non-integer angles

A. Gabrielov, A. Eremenko, V. Tarasov, 2015, 1504.02928.