Exactly solvable models and knot theory
暂无分享,去创建一个
[1] P. Weisz,et al. On the uniqueness of a purely elastic S-matrix in (1+1) dimensions , 1977 .
[2] M. Wadati,et al. Exactly Solvable Models and New Link Polynomials. I. N-State Vertex Models , 1987 .
[3] D. Walba,et al. The thyme polyethers: An approach to the synthesis of a molecular knotted ring , 1986 .
[4] Bagger,et al. Virasoro algebras with central charge c>1. , 1988, Physical review letters.
[5] N. Zabusky,et al. Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States , 1965 .
[6] M. Wadati,et al. The Exact Solution of the Modified Korteweg-de Vries Equation , 1972 .
[7] J. Gibbon,et al. Solitons and Nonlinear Wave Equations , 1982 .
[8] V. G. Knizhnik,et al. Current Algebra and Wess-Zumino Model in Two-Dimensions , 1984 .
[9] V. Bazhanov. Integrable quantum systems and classical Lie algebras , 1987 .
[10] Basil Gordon,et al. A COMBINATORIAL GENERALIZATION OF THE ROGERS-RAMANUJAN IDENTITIES.* , 1961 .
[11] E. Lieb. Exact Solution of the F Model of An Antiferroelectric , 1967 .
[12] K. Aomoto. Gauss-Manin connection of integral of difference products , 1987 .
[13] R. Powers. Representations of Uniformly Hyperfinite Algebras and Their Associated von Neumann Rings , 1967 .
[14] Edward Witten,et al. Quantum field theory and the Jones polynomial , 1989 .
[15] B. McCoy,et al. Commuting transfer matrices in the chiral Potts models: Solutions of star-triangle equations with genus>1 , 1987 .
[16] Semenoff. Canonical quantum field theory with exotic statistics. , 1988, Physical review letters.
[17] Kenneth C. Millett,et al. A new polynomial invariant of knots and links , 1985 .
[18] M. Wadati,et al. Exactly Solvable Models and New Link Polynomials. II. Link Polynomials for Closed 3-Braids , 1987 .
[19] Frank Wilczek,et al. Magnetic flux, angular momentum, and statistics , 1982 .
[20] R. Baxter. Baxter equations and the Zamolodchikov model , 1986 .
[21] J. W. Alexander. Topological invariants of knots and links , 1928 .
[22] M. Wadati,et al. Lax Pair for the One-Dimensional Hubbard Model , 1987 .
[23] S. Shenker,et al. Conformal invariance, unitarity, and critical exponents in two dimensions , 1984 .
[24] George E. Andrews,et al. Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities , 1984 .
[25] Y. Akutsu,et al. New Factorized S-Matrix and Its Application to Exactly Solvable q-State Model. II , 1983 .
[26] G. Andrews. The Theory of Partitions: Frontmatter , 1976 .
[27] Wadati,et al. Conserved quantities of the one-dimensional Hubbard model. , 1988, Physical review letters.
[28] Y. Stroganov. A new calculation method for partition functions in some lattice models , 1979 .
[29] H. Thacker. Exact integrability in quantum field theory and statistical systems , 1981 .
[30] E. Verlinde,et al. Fusion Rules and Modular Transformations in 2D Conformal Field Theory , 1988 .
[31] Alexander M. Polyakov,et al. Infinite conformal symmetry of critical fluctuations in two dimensions , 1984 .
[32] A. Zamolodchikov. Z4-symmetric factorizedS-matrix in two space-time dimensions , 1979 .
[33] T. Kanenobu. Examples on polynomial invariants of knots and links , 1986 .
[34] H. Vega,et al. Solutions of the factorization equations from Toda field theory , 1981 .
[35] M. Wadati,et al. Classification of Exactly Solvable Two-Component Models , 1982 .
[36] N. Cozzarelli,et al. Biochemical topology: applications to DNA recombination and replication. , 1986, Science.
[37] F. Wilczek,et al. Linking Numbers, Spin, and Statistics of Solitons , 1983 .
[38] M. Jimbo,et al. Fusion of the eight vertex SOS model , 1986 .
[39] A. Polyakov,et al. Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory - Nucl. Phys. B241, 333 (1984) , 1984 .
[40] E. Artin. The theory of braids. , 1950, American scientist.
[41] A. Kuniba,et al. Local state probabilities for solvable restricted solid-on-solid models:An,Dn,Dn(1), andAn(1) , 1988 .
[42] V. Turaev. The Yang-Baxter equation and invariants of links , 1988 .
[43] D. Huse. Exact exponents for infinitely many new multicritical points , 1984 .
[44] M. Wadati,et al. Virasoro Algebra, von Neumann Algebra and Critical Eight-Vertex SOS Models , 1986 .
[45] M. Wadati,et al. Yang-Baxter Relations for Spin Models and Fermion Models , 1987 .
[46] Michio Jimbo. QuantumR matrix for the generalized Toda system , 1986 .
[47] M. Wadati,et al. Exactly Solvable IRF Models. I. A Three-State Model , 1986 .
[48] M. Wadati,et al. Quantum Inverse Scattering Method and Yang-Baxter Relation for Integrable Spin Systems , 1982 .
[49] M. Wadati,et al. Knot Theory and Conformal Field Theory: Reduction Relations for Braid Generators , 1989 .
[50] David M. Walba,et al. Total synthesis of the first molecular Moebius strip , 1982 .
[51] M. Wadati,et al. Exactly Solvable IRF Models. IV. Generalized Rogers-Remanujan Identities and a Solvable Hierarchy , 1986 .
[52] Vaughan F. R. Jones,et al. Hecke algebra representations of braid groups and link polynomials , 1987 .
[53] A. Zamolodchikov. Tetrahedron equations and the relativisticS-matrix of straight-strings in 2+1-Dimensions , 1981 .
[54] B. G. Wybourne,et al. Classical Groups for Physicists , 1974 .
[55] N R Cozzarelli,et al. Discovery of a predicted DNA knot substantiates a model for site-specific recombination. , 1985, Science.
[56] N. Cozzarelli,et al. The stereostructure of knots and catenanes produced by phage λ integrative recombination: implications for mechanism and DNA structure , 1985, Cell.
[57] An exactly solvable 4-state IRF model , 1986 .
[58] E. Lieb. Exact Solution of the Two-Dimensional Slater KDP Model of a Ferroelectric , 1967 .
[59] M. Wadati,et al. The Gordon-Generalization Hierarchy of Exactly Solvable IRF Models , 1986 .
[60] V. Kac. Infinite dimensional Lie algebras: Frontmatter , 1990 .
[61] M. Wadati,et al. Inhomogeneous Eight-Vertex SOS Model and Solvable IRF Hierarchies , 1986 .
[62] M. Wadati,et al. Exactly Solvable Models and New Link Polynomials. IV. IRF Models , 1988 .
[63] M. Wadati,et al. Exactly solvable models and new link polynomials. III: Two-variable topological invariants , 1988 .
[64] M. Wadati,et al. Exactly solvable IRF models. II: SN-generalizations , 1986 .
[65] R. Baxter,et al. On Zamolodchikov's solution of the tetrahedron equations , 1983 .
[66] M. Wadati,et al. Exactly Solvable Models and New Link Polynomials. V. Yang-Baxter Operator and Braid-Monoid Algebra , 1988 .
[67] Knot Invariants and the Critical Statistical Systems , 1987 .
[68] S. Shenker,et al. Superconformal invariance in two dimensions and the tricritical Ising model , 1985 .
[69] M. Wadati,et al. An exactly solvable 5-state IRF model , 1986 .
[70] C. Yang. Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction , 1967 .
[71] M. Wadati,et al. Nonrelativistic Theory of Factorized S-Matrix , 1981 .
[72] J. Birman. On the Jones polynomial of closed 3-braids , 1985 .
[73] G. Moore,et al. Polynomial equations for rational conformal field theories , 1988 .
[74] G. Andrews,et al. Lattice gas generalization of the hard hexagon model. I. Star-triangle relation and local densities , 1986 .
[75] Robert N. Cahn,et al. Semi-Simple Lie Algebras and Their Representations , 1984 .
[76] M. Wadati,et al. Knots, links, braids and exactly solvable models in statistical mechanics , 1988 .
[77] C. S. Gardner,et al. Method for solving the Korteweg-deVries equation , 1967 .
[78] Yong-Shi Wu. General Theory for Quantum Statistics in Two-Dimensions , 1984 .
[79] Jun Murakami. The Kauffman polynomial of links and representation theory , 1987 .
[80] J. Perk,et al. New families of commuting transfer matrices in q state vertex models , 1981 .
[81] Zongan Qiu,et al. Current Algebra and Conformal Discrete Series , 1988 .
[82] Conserved Quantities for Spin Models and Fermion Models , 1987 .
[83] Michio Jimbo,et al. Exactly solvable SOS models: local height probabilities and theta function identities , 1987 .
[84] M. Wadati,et al. Exactly Solvable IRF Models. V. A Further New Hierarchy , 1986 .
[85] A. Kuniba,et al. Local state probabilities for an infinite sequence of solvable lattice models , 1988 .
[86] V. G. Knizhnik,et al. Superconformal symmetry in two dimensions , 1985 .
[87] V. Jones. A polynomial invariant for knots via von Neumann algebras , 1985 .
[88] M. Wadati,et al. Exactly Solvable IRF Models. III. A New Hierarchy of Solvable Models , 1986 .
[89] Louis H. Kauffman,et al. State Models and the Jones Polynomial , 1987 .
[90] V. Bazhanov. Trigonometric solutions of triangle equations and classical lie algebras , 1985 .
[91] J. Birman. Braids, Links, and Mapping Class Groups. , 1975 .
[92] Morikazu Toda,et al. The Exact N-Soliton Solution of the Korteweg-de Vries Equation , 1972 .
[93] B. Sutherland. Exact Solution of a Two-Dimensional Model for Hydrogen-Bonded Crystals , 1967 .
[94] W. Magnus,et al. Combinatorial Group Theory: COMBINATORIAL GROUP THEORY , 1967 .
[95] R. Baxter. Exactly solved models in statistical mechanics , 1982 .
[96] M. Wadati,et al. Link polynomials constructed from solvable models in statistical mechanics , 1988 .