I. Krichever

发表

ALGEBRAIC CURVES AND NON-LINEAR DIFFERENCE EQUATIONS

I. Krichever, 1978 .

Algebraic-geometricn-orthogonal curvilinear coordinate systems and solutions of the associativity equations

I. Krichever, 1996, hep-th/9611158.

Algebraic curves and commuting matricial differential operators

I. Krichever, 1976 .

Seiberg-Witten Theory, Symplectic Forms, and Hamiltonian Theory of Solitons

I. Krichever, E. D'hoker, D. Phong, 2002, hep-th/0212313.

Trivalent graphs and solitons

I. Krichever, S. Novikov, 1999, math-ph/0004009.

Elliptic analog of the Toda lattice

I. Krichever, 1999, hep-th/9909224.

Vector Bundles and Lax Equations on Algebraic Curves

I. Krichever, 2001, hep-th/0108110.

Abelian solutions of the soliton equations and Riemann-Schottky problems

I. Krichever, 2008 .

The $\tau$-function of the universal Whitham hierarchy, matrix models and topological field theories

I. Krichever, 1992 .

Wess-Zumino lagrangians in chiral models and quantization of their constants

A. Perelomov, I. Krichever, M. Olshanetsky, 1986 .

Vacuum curves of elliptic L-operators and representations of Sklyanin algebra

I. Krichever, A. Zabrodin, 1998 .

TOPICAL REVIEW: Periodic and almost-periodic potentials in inverse problems

S. Novikov, I. Krichever, 1999 .

Symplectic forms in the theory of solitons

I. Krichever, D.H.Phong, D. H. Phong, 1997, hep-th/9708170.

The renormalization group equation in N = 2 supersymmetric gauge theories

I. Krichever, E. D'hoker, D. Phong, 1996, hep-th/9610156.

Seiberg-Witten Theory, Symplectic Forms, and Hamiltonian Theory of Solitons

I. Krichever, E. D'hoker, D. Phong, 2002, hep-th/0212313.

The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces

S. Grushevsky, I. Krichever, 2008, 0810.2139.

Characterizing Jacobians via flexes of the Kummer variety

I. Krichever, E. Arbarello, G. Marini, 2005, math/0502138.

Algebraic—Geometrical Methods in the Theory of Integrable Equations and Their Perturbations

I. Krichever, 1995 .

Algebraic-geometrical methods in the theory of integrable equations and their perturbations

I. Krichever, 1995 .

Algebras of virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces

S. Novikov, I. Krichever, 1989 .

The peierls model

I. Krichever, 1982 .

Integrable Systems: Algebraic curves and non-linear difference equations (Volume 33, 1978)

I. Krichever, 1981 .

Methods of Algebraic Geometry in the Theory of Non-linear Equations" Russian Math

I. Krichever, 1981 .

Commuting difference operators and the combinatorial Gale transform

I. Krichever, 2015, Functional Analysis and Its Applications.

Commuting difference operators and the combinatorial Gale transform

I. Krichever, 2014, 1403.4629.

Incarnations of XXX $\widehat{\frak{sl}_N}$ Bethe ansatz equations and integrable hierarchies

I. Krichever, A. Varchenko, 2019, 1907.12198.

Abelian solutions of the soliton equations and geometry of abelian varieties.

I. Krichever, T. Shiota, 2008, 0804.0794.

Abelian solutions of the KP equation

I. Krichever, T. Shiota, 2008 .

Elliptic Solutions to Difference Nonlinear Equations and Nested Bethe Ansatz Equations

I. Krichever, 1998, solv-int/9804016.

Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations

I. Krichever, A. Zabrodin, O.Lipan, 1996, hep-th/9604080.

Real normalized differentials and compact cycles in the moduli space of curves

I. Krichever, 2012, 1204.2192.

Real normalized differentials and Arbarello’s conjecture

I. Krichever, 2012, Functional Analysis and Its Applications.

Real normalized differentials and Arbarello’s conjecture

I. Krichever, 2011, 1112.6427.

Real-normalized differentials: limits on stable curves

S. Grushevsky, I. Krichever, C. Norton, 2017, Russian Mathematical Surveys.

Alexandre Mikhailovich Vinogradov

A. Veselov, V. Kac, V. Maslov, 2020, Russian Mathematical Surveys.

The dispersionless Lax equations and topological minimal models

I. Krichever, 1992 .

Algebras of virasoro type, riemann surfaces and structures of the theory of solitons

S. Novikov, I. Krichever, 1987 .

Spectral theory of two-dimensional periodic operators and its applications

Igor Krichever, I. Krichever, 1989 .

Perturbation theory in periodic problems for two-dimensional integrable systems

I. Krichever, 1992 .

Virasoro-type algebras, Riemann surfaces and strings in Minkowsky space

S. Novikov, I. Krichever, 1987 .

Integrable Systems. I

Sergei Petrovich Novikov, Boris Dubrovin, Igor Krichever, 2001 .

Quantum Integrable Models and Discrete Classical Hirota Equations

Ovidiu Lipan, Igor Krichever, O. Lipan, 1997 .

Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles

Igor Krichever, I. Krichever, 1980 .

The τ‐function of the universal whitham hierarchy, matrix models and topological field theories

I. Krichever, 1994 .

Rational multisoliton solutions of the nonlinear Schrdinger equation

I. Krichever, V. M. Eleonskii, N. Kulagin, 1986 .

Characterizing Jacobians via trisecants of the Kummer variety

I. Krichever, 2006 .

Elliptic Solutions to Difference Non-Linear Equations and Related Many-Body Problems

I. Krichever, P. Wiegmann, A. Zabrodin, 1998 .

Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra

I. Krichever, A. Zabrodin, 1995 .

Rational solutions of the Zakharov-Shabat equations and completely integrable systems of N particles on a line

I. Krichever, 1983 .

Rational solutions of the Kadomtsev — Petviashvili equation and integrable systems of N particles on a line

Igor Krichever, I. Krichever, 1978 .

Discrete analogs of the Darboux-Egoroff metrics

I. Krichever, A. Akhmetshin, Y. Volvovski, 1999, hep-th/9905168.

HOLOMORPHIC BUNDLES OVER ALGEBRAIC CURVES AND NON-LINEAR EQUATIONS

Sergei Petrovich Novikov, Igor Krichever, S. Novikov, 1980 .

METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS

Igor Krichever, I. Krichever, 1977 .

Geometry, Topology, and Mathematical Physics: S. P. Novikov’s Seminar: 2006–2007

V. Buchstaber, I. Krichever, 2008 .

Elliptic analog of the Toda lattice

I. Krichever, I M Krichever, 1999, hep-th/9909224.

Exact solutions of the time-dependent Schroedinger equation with self-consistent potential

B. Dubrovin, V. Makhankov, I. Krichever, 1988 .

A characterization of Prym varieties

I. Krichever, 2005 .

The effective prepotential of N = 2 supersymmetric SO(Nc) and Sp(Nc) gauge theories☆

I. Krichever, E. D'hoker, D. Phong, 1996, hep-th/9609145.

The effective prepotential of N = 2 supersymmetric SU(Nc) gauge theories☆

I. Krichever, E. D'hoker, D. Phong, 1996, hep-th/9609041.

Integrability and Seiberg-Witten exact solution

I. Krichever, A. Gorsky, A. Mironov, 1995 .

Solitons in high-energy QCD

I. Krichever, G. Korchemsky, 1997 .

Multi-phase solutions of the Benjamin-Ono equation and their averaging

S. Dobrokhotov, I. Krichever, 1991 .

v 1 7 M ay 1 99 5 Spin generalization of the Ruijsenaars-Schneider model , non-abelian 2 D Toda chain and representations of Sklyanin algebra

I. Krichever, A. Zabrodin, 1995 .

Isomonodromy equations on algebraic curves, canonical transformations and Whitham equations

I. Krichever, 2001, hep-th/0112096.

The Generating Formula for The Solutions to The Associativity Equations

I. Krichever, A. Akhmetshin, Y. Volvovski, 1999, hep-th/9904028.

Algebraic-geometricn-orthogonal curvilinear coordinate systems and solutions of the associativity equations

I. Krichever, Игорь Моисеевич Кричевер, 1996, hep-th/9611158.

Method of averaging for two-dimensional "integrable" equations

Igor Krichever, I. Krichever, 1988 .

Commutative rings of ordinary linear differential operators

I. Krichever, 1978 .

Holomorphic bundles over Riemann surfaces and the Kadomtsev—Petviashvili equation. I

S. Novikov, I. Krichever, 1978 .

Integration of nonlinear equations by the methods of algebraic geometry

Igor Krichever, I. Krichever, 1977 .

Integrable Structure of the Dirichlet Boundary Problem in Multiply-Connected Domains

Igor Krichever, I. Krichever, Andrei Vladimirovich Marshakov, 2005 .

Exactly soluble peierls models

S. Brazovskii, I. Krichever, I. E. Dzyaloshinskii, 1982 .

Integrability : the Seiberg-Witten and Whitham equations

I. Krichever, H. Braden, 2000 .

On the integrable geometry of soliton equations and $N=2$ supersymmetric gauge theories

I. Krichever, D. H. Phong, 1996, hep-th/9604199.

Spin generalization of the Calogero-Moser system and the Matrix KP equation

I. Krichever, O. Babelon, E. Billey, 1994, hep-th/9411160.

Towards Lefschetz Thimbles in Sigma Models, I

I. Krichever, N. Nekrasov, 2020, 2010.15575.

Elliptic Families of Solutions of the Kadomtsev--Petviashvili Equation and the Field Elliptic Calogero--Moser System

I. Krichever, A. Akhmetshin, Y. Volvovski, 2002, hep-th/0203192.

Vector Bundles and Lax Equations on Algebraic Curves

I. Krichever, 2001, hep-th/0108110.

Александр Петрович Веселов (к 60-летию со дня рождения)@@@Aleksandr Petrovich Veselov (on his 60th birthday)

B. Dubrovin, G. Felder, O. Chalykh, 2016 .

Spin Chain Models with Spectral Curves from M Theory

I. Krichever, D. Phong, 2000 .

Nonlinear equations and elliptic curves

Igor Krichever, I. Krichever, 1985 .

Integrability, Quantization, and Geometry: I. Integrable Systems

I. Krichever, S. Shlosman, O. Ogievetsky, 2021 .

Integrable discrete Schrodinger equations and a characterization of Prym varieties by a pair of quadrisecants

S. Grushevsky, I. Krichever, 2007, 0705.2829.

Analytic theory of difference equations with rational and elliptic coefficients and the Riemann-Hilbert problem

I. Krichever, 2004 .

Rational solutions of the duality equations for yang - mills fields

I. Krichever, 1979 .

Kadomtsev–Petviashvili Turning Points and CKP Hierarchy

I. Krichever, A. Zabrodin, 2020, Communications in Mathematical Physics.

Elliptic solutions of nonlinear integrable equations and related topics

Igor Krichever, I. Krichever, 1994 .

Multidimensional Vector Addition Theorems and the Riemann Theta Functions

I. Krichever, V. Buchstaber, 1996 .

Spin generalization of the Ruijsenaars-Schneider model, nonAbelian 2-dimensional Toda chain and representations of Sklyanin algebra

I. Krichever, A. Zabrodin, 1995 .

Abelian pole systems and Riemann-Schottky type systems

I. Krichever, 2022, 2202.04585.

Soliton equations and the Riemann-Schottky problem

I. Krichever, T. Shiota, 2011, 1111.0164.

A G ] 1 N ov 2 01 1 Soliton equations and the Riemann-Schottky problem

I. Krichever, T. Shiota, 2011 .

Integrable equations, addition theorems, and the Riemann-Schottky problem

I. Krichever, V. Buchstaber, 2006 .

Real-Normalized Differentials and the Elliptic Calogero-Moser System

S. Grushevsky, I. Krichever, 2011, 1108.4211.

Real-Normalized Differentials and the Elliptic Calogero-Moser System

S. Grushevsky, I. Krichever, 2011, 1108.4211.

OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON LINEAR EQUATIONS

I. Krichever, 2011 .

Real-normalized differentials with a single order 2 pole

I. Krichever, S. Lando, A. Skripchenko, 2020, Letters in Mathematical Physics.

where u(x) is a periodic function. Equation (i) describes the behavior of an electron in the physically important case of a periodic lattice, to which one has applied a constant ex- terior electric field E. The nonstationary SchrDdinger equation

I. Krichever, 1985 .

The laplace method, algebraic curves, and nonlinear equations

I. Krichever, 1984 .

Finite genus solutions to the Ablowitz‐Ladik equations

C. David Levermore, Peter D. Miller, C. D. Levermore, 2010 .

The τ-Function of the Universal Whitham Hierarchy, Matrix Models and Topological Field Theories

I. Krichever, 1996 .

Foliations on the moduli space of curves, vanishing in cohomology, and Calogero-Moser curves

S. Grushevsky, I. Krichever, 2011 .

SPIN CHAINS WITH TWISTED MONODROMY

I. Krichever, D. H. Phong, 2001, Journal of the Institute of Mathematics of Jussieu.

The periodic and open Toda lattice

I. Krichever, K. Vaninsky, 2000 .

Trivalent graphs and solitons

I. Krichever, S. Novikov, 1999, math-ph/0004009.

Generalized elliptic genera and baker-Akhiezer functions

I. Krichever, 1990 .

Geometry, Topology, and Mathematical Physics

V. Buchstaber, I. Krichever, 2004 .

Vector addition theorems and Baker-Akhiezer functions

V. M. Bukhshtaber, I. Krichever, 1993 .

Lax operator algebras

I. Krichever, O. Sheinman, 2007, math/0701648.

Виктор Матвеевич Бухштабер (к семидесятилетию со дня рождения)@@@Viktor Matveevich Buchstaber (on his 70th birthday)

Алексей Борисович Жижченко, I. Taimanov, T. Panov, 2003 .

Viktor Matveevich Buchstaber (on his 70th birthday)

A. Veselov, B. Dubrovin, S. Novikov, 2013 .

Holomorphic bundles and commuting difference operators. Two-point constructions

I. Krichever, S. Novikov, 2000 .

COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Holomorphic bundles and commuting difference operators. Two-point constructions

S. Novikov, I. Krichever, 2000 .

I. Krichever, 1980 .

Holomorphic bundles and scalar difference operators: one-point constructions

S. Novikov, I. Krichever, 2000, math-ph/0004008.

Two-dimensional algebraic-geometric operators with self-consistent potentials

I. Krichever, 1994 .

Novikov-Veselov Symmetries of the Two-Dimensional O(N) Sigma Model

Nikita Nekrasov, Igor Krichever, I. Krichever, 2021, Symmetry, Integrability and Geometry: Methods and Applications.

Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model

I. Krichever, 1986 .

Abelian integrals, algebraic functions and compact Riemann surfaces in the semiclassical

Yang Chen, S. Novikov, I. Krichever, 2016 .

Laplacian growth and Whitham equations of soliton theory

I. Krichever, M. Mineev-Weinstein, P. Wiegmann, 2003, nlin/0311005.

Holomorphic bundles and nonlinear equations

S. Novikov, I. Krichever, 1981 .

Local Σ-realization of metrics of positive curvature in Euclidean space

I. Krichever, V. T. Fomenko, 1986 .

Ju l 2 00 4 Analytic theory of difference equations with rational and elliptic coefficients and Riemann-Hilbert problem

I. Krichever, 2022 .

ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS

V. Matveev, B. Dubrovin, S. Novikov, 2017 .

Baxter's equations and algebraic geometry

I. Krichever, 1981 .

General rational reductions of the KP hierarchy and their symmetries

I. Krichever, 1995 .

On the eigenvalues of a perturbed almost periodic operator that are immersed in the continuous spectrum

I. Krichever, N. V. Nikolenko, S. Stepin, 2017 .

Quasi-periodic solutions of the universal hierarchy

I. Krichever, A. Zabrodin, 2023, 2308.12187.

Toda lattice with constraint of type B

I. Krichever, A. Zabrodin, 2022, Physica D: Nonlinear Phenomena.

Characterizing Jacobians of algebraic curves with involution

Igor Krichever, I. Krichever, 2021, 2109.13161.

Constrained Toda hierarchy and turning points of the Ruijsenaars–Schneider model

I. Krichever, A. Zabrodin, I. Krichever, 2021, Letters in Mathematical Physics.

Two-Dimensional Periodic Schrödinger Operators Integrable at an Energy Eigenlevel

I. Krichever, N. Nekrasov, A. Ilina, 2019, Functional Analysis and Its Applications.

Two-Dimensional Periodic Schrödinger Operators Integrable at an Energy Eigenlevel

I. Krichever, N. Nekrasov, A. Ilina, 2019, Functional Analysis and Its Applications.

Characterizing Jacobians via flexes of the Kummer variety

I. Krichever, E. Arbarello, G. Marini, 2005, math/0502138.

A pr 2 00 6 A characterization of Prym varieties

I. Krichever, 2006 .

Integrable linear equations and the Riemann-Schottky problem

I. Krichever, 2006 .

Ju n 20 05 A characterization of Prym varieties

I. Krichever, 2005 .

Potentials with zero coefficient of reflection on a background of finite-zone potentials

I. Krichever, 1975 .

A note on critical points of integrals of soliton equations

I. Krichever, D. Zakharov, 2010, 1005.3741.

Integrability and Seiberg-Witten exact solution

A.Morozov, I. Krichever, A.Gorsky, 1995, hep-th/9505035.

Virasoro-Gelfand-Fuks type algebras, Riemann surfaces, operator's theory of closed strings

S. Novikov, I. Krichever, 1988 .