On knot invariants related to some statistical mechanical models
type: Item
instance of: scholarly article
title: On knot invariants related to some statistical mechanical models
zbMATH Open document ID: 0695.46029
published in: Pacific Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 46L80
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 46L60
Mathematics Subject Classification ID: 46N99
zbMATH DE Number: 4138558
zbMATH Keywords: IRF-model
zbMATH Keywords: statistical mechanical models
zbMATH Keywords: vertex models
zbMATH Keywords: spin models
zbMATH Keywords: interaction round a face models
zbMATH Keywords: topological knot theory
zbMATH Keywords: knot diagram
zbMATH Keywords: knot invariant
author: V. F. R. Jones
MaRDI profile type: Publication
full work available at URL: pjm.1989.137.311
OpenAlex ID: W2093392563
DOI: 10.2140/PJM.1989.137.311
description: scientific article; zbMATH DE number 4138558