Knots and statistical mechanics

DOI10.1016/S0960-0779(97)00095-7zbMath0935.57007MaRDI QIDQ1809545

Louis H. Kauffman

Publication date: 3 May 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

networklinksVassiliev invariantsbracket polynomialquantum invariants of knots

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

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• On knot invariants related to some statistical mechanical models
• State models and the Jones polynomial
• The Yang-Baxter equation and invariants of links
• Quantum field theory and the Jones polynomial
• On the Vassiliev knot invariants
• Hopf algebras and invariants of 3-manifolds
• Invariants of 3-manifolds via link polynomials and quantum groups
• GAUSS CODES, QUANTUM GROUPS AND RIBBON HOPF ALGEBRAS
• Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
• An Invariant of Regular Isotopy
• INVARIANTS OF 3-MANIFOLDS DERIVED FROM FINITE DIMENSIONAL HOPF ALGEBRAS
• Functional integration and the theory of knots
• Hopf algebras and regular isotopy invariants for link diagrams