Knot invariants associated with a particular \(N\to\infty\) continuous limit of the Baxter-Bazhanov model.

DOI10.1007/BF02179250zbMath1081.57500OpenAlexW2020045577MaRDI QIDQ1593325

Paolo Cotta-Ramusino, Mairizio Martellini, Bianca L. Cerchiai

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02179250

zbMATH Keywords

Yang-Baxter equationbraid group representationstetrahedron equationthree-dimensional solvable modelsBaxter-Bazhanov modelsgeneralized chiral Potts modelsAlexander knot invariants

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Unnamed Item
• Cyclotomic invariants for links
• Metaplectic link invariants
• Generalized chiral Potts models and minimal cyclic representations of \(U_ q (\widehat {\mathfrak gl}(n,C))\)
• Braid group representations arising from the generalized chiral Potts models
• Three-dimensional integrable models and associated tangle invariants.
• \((Z_ N\times\;)^{n-1}\) generalization of the chiral Potts model
• Reidemeister torsion in knot theory
• SPATIAL SYMMETRY, LOCAL INTEGRABILITY AND TETRAHEDRON EQUATIONS IN THE BAXTER-BAZHANOV MODEL
• Star-triangle relation for a three-dimensional model
• BAXTERIZATION

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