Knots, links, braids and exactly solvable models in statistical mechanics

DOI10.1007/BF01223592zbMath0651.57005MaRDI QIDQ1106509

Yasuhiro Akutsu, Miki Wadati

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Markov tracesYang-Baxter equationJones polynomialBoltzmann weightsexactly solvable models in statistical mechanicsisotopy invariants of classical linksN-state vertex modelone-variable polynomial invariants of linksrepresentations of the braid groups

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23)

Related Items

Three-partite vertex model and knot invariants, Quantum double finite group algebras and their representations, Yang-Baxter invariants for line configurations, Link invariants from \(N\)-state vertex models: An alternative construction independent of statistical models, MASSEY–MILNOR LINKING = CHERN–SIMONS–WITTEN GRAPHS, Graphical solutions of the Yang–Baxter Equation with cut strands, Ocneanu cell calculus and integrable lattice models, Distinguishing mutant knots, COMBINATORIC AND DIAGRAMMATIC STUDY IN KNOT THEORY, How to find the Lax pair from the Yang-Baxter equation, Old and new link polynomials from the theory of exactly solvable models, CHERN–SIMONS–WITTEN CONFIGURATION SPACE INTEGRALS IN KNOT THEORY, FIRST NON-VANISHING SELF-LINKING OF KNOT (III) MASSEY–MILNOR THEORY, COMBINATORIC MASSEY–MILNOR LINKING THEORY, Yang-Baxter algebras, integrable theories and quantum groups., FIRST NON-VANISHING SELF-LINKING OF KNOTS (I) COMBINATORIC AND DIAGRAMMATIC STUDY, New hierarchy of colored-braid-group representations, ALL LINK INVARIANTS FOR TWO DIMENSIONAL SOLUTIONS OF YANG–BAXTER EQUATION AND DRESSINGS, Knot invariants and cellular automata

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