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On knot invariants related to some statistical mechanical models. (English) Zbl 0695.46029

An aim of this paper is to clarify the relation between three types of statistical mechanical models (vertex models, spin models and interaction round a face models and topological knot theory. The statistical mechanical models may be defined on a knot diagram and a suitable variable on the partition function of the system is often a knot invariant.
Reviewer: V.Deundyak

MSC:

46L80 \(K\)-theory and operator algebras (including cyclic theory)
82B05 Classical equilibrium statistical mechanics (general)
46L60 Applications of selfadjoint operator algebras to physics
46N99 Miscellaneous applications of functional analysis
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