2-frieze patterns and the cluster structure of the space of polygons
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Publication:714919
DOI10.5802/aif.2713zbMath1290.13014arXiv1008.3359OpenAlexW2963154231MaRDI QIDQ714919
Sophie Morier-Genoud, Valentin Ovsienko, Sergei Tabachnikov
Publication date: 12 October 2012
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.3359
Projective techniques in algebraic geometry (14N05) Real and complex geometry (51M99) Cluster algebras (13F60)
Related Items (24)
Counting friezes in type \(D_n\) ⋮ Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics ⋮ Friezes satisfying higher \(\mathrm{SL}_k\)-determinants ⋮ Liouville-Arnold integrability of the pentagram map on closed polygons ⋮ Discrete integrable systems and Poisson algebras from cluster maps ⋮ Projective self-dual polygons in higher dimensions ⋮ Categorification of a frieze pattern determinant ⋮ Introducing supersymmetric frieze patterns and linear difference operators ⋮ Commuting difference operators and the combinatorial Gale transform ⋮ Legendrian weaves: \(N\)-graph calculus, flag moduli and applications ⋮ Linear relations for Laurent polynomials and lattice equations ⋮ Cyclic sieving of increasing tableaux and small Schröder paths ⋮ Coxeter's frieze patterns and discretization of the Virasoro orbit ⋮ A two-dimensional lattice equation as an extension of the Heideman–Hogan recurrence ⋮ Arithmetics of 2-friezes ⋮ Symplectic frieze patterns ⋮ Counting Coxeter's friezes over a finite field via moduli spaces ⋮ Infinite friezes ⋮ Braid group symmetries of Grassmannian cluster algebras ⋮ Partitions of unity in \(\mathrm{SL}(2,\mathbb Z)\), negative continued fractions, and dissections of polygons ⋮ Cyclic sieving and cluster duality of Grassmannian ⋮ \( \tilde{A}\) and \(\tilde{D}\) type cluster algebras: triangulated surfaces and friezes ⋮ Lagrangian configurations and symplectic cross-ratios ⋮ Linear difference equations, frieze patterns, and the combinatorial Gale transform
Uses Software
Cites Work
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