The Kashaev equation and related recurrences

DOI10.3842/SIGMA.2019.012zbMath1417.82011arXiv1805.04197WikidataQ128352273 ScholiaQ128352273MaRDI QIDQ2633025

Alexander Leaf

Publication date: 8 May 2019

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04197

zbMATH Keywords

cluster algebrascubical complexes\(s\)-holomorphicityhexahedron recurrenceKashaev equationprincipal minors of symmetric matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Algebraic combinatorics (05E99) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Cluster algebras (13F60) Discrete analytic functions (30G25)

Related Items (1)

The Kashaev equation and related recurrences

Cites Work

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• Universality in the 2D Ising model and conformal invariance of fermionic observables
• Set-theoretic defining equations of the variety of principal minors of symmetric matrices
• Double-dimers, the Ising model and the hexahedron recurrence
• Higher Bruhat orders and cyclic hyperplane arrangements
• On discrete three-dimensional equations associated with the local Yang-Baxter relation
• The Kashaev equation and related recurrences
• Principal minors and rhombus tilings
• Combinatorial algebraic topology
• Morsifications and mutations

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