Y-meshes and generalized pentagram maps

DOI10.1112/plms/pdw007zbMath1362.37109arXiv1503.02057OpenAlexW1749066459MaRDI QIDQ2809277

Max Glick, Pavlo Pylyavskyy

Publication date: 27 May 2016

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02057

zbMATH Keywords

projective geometrypentagram mapcluster algebra\(Y\)-mutations

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Projective analytic geometry (51N15) Cluster algebras (13F60)

Related Items (10)

Solutions to the T-systems with principal coefficients ⋮ Pentagrams, inscribed polygons, and Prym varieties ⋮ The pentagram map, Poncelet polygons, and commuting difference operators ⋮ Pentagram maps and refactorization in Poisson-Lie groups ⋮ Pentagram-type maps and the discrete KP equation ⋮ Discrete dynamics in cluster integrable systems from geometric \(R\)-matrix transformations ⋮ Vector-relation configurations and plabic graphs ⋮ Projective Configuration Theorems: Old Wine into New Wineskins ⋮ Open problems, questions and challenges in finite- dimensional integrable systems ⋮ Lagrangian configurations and symplectic cross-ratios

Cites Work

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• On generalizations of the pentagram map: discretizations of AGD flows
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• Cluster algebras I: Foundations
• Cluster algebras IV: Coefficients
• Discrete Differential Geometry
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• Pentagram Spirals
• On the integrability of the shift map on twisted pentagram spirals
• On Integrable Generalizations of the Pentagram Map
• The pentagram map: a discrete integrable system
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