Commuting difference operators and the combinatorial Gale transform

DOI10.1007/s10688-015-0102-3zbMath1331.47052arXiv1403.4629OpenAlexW2165285588MaRDI QIDQ903409

I. M. Krichever

Publication date: 6 January 2016

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4629

zbMATH Keywords

commuting difference operatorsGale transformfrieze patternsmoduli spaces of \(n\)-gonsspectral theory of linear difference operators

Mathematics Subject Classification ID

Relationships between algebraic curves and integrable systems (14H70) Linear difference operators (47B39) Configurations and arrangements of linear subspaces (14N20)

Related Items (11)

Triangular reductions of the \(2D\) Toda hierarchy ⋮ One-point commuting difference operators of rank 1 ⋮ The pentagram map, Poncelet polygons, and commuting difference operators ⋮ Introducing supersymmetric frieze patterns and linear difference operators ⋮ Discretization of commuting ordinary differential operators of rank 2 in the case of elliptic spectral curves ⋮ Duality for Bethe algebras acting on polynomials in anticommuting variables ⋮ Periodic One-Point Rank One Commuting Difference Operators ⋮ Symplectic frieze patterns ⋮ Partitions of unity in \(\mathrm{SL}(2,\mathbb Z)\), negative continued fractions, and dissections of polygons ⋮ Lagrangian configurations and symplectic cross-ratios ⋮ Linear difference equations, frieze patterns, and the combinatorial Gale transform

Cites Work

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