Knot Theory based on Solvable Models at Criticality

摘要: Abstract A general theory is presented to construct representations of the braid group and link polynomials (topological invariants for knots links) from exactly solvable models in statistical mechanics at criticality. Sufficient conditions existence Markov trace are explicitly shown. Application IRF vertex yields various including an infinite sequence new invariants. The extended into two-variable For with crossing symmetry, braid-monoid algebras associated derived. It found that Yang-Baxter relation gives both algebraic approach a graphical knot theory.