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Cross-ratio Dynamics on Ideal Polygons

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Publication:5075188
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DOI10.1093/imrn/rnaa289zbMath1490.51014arXiv1812.05337OpenAlexW3111825037MaRDI QIDQ5075188

Ivan Izmestiev, Maxim Arnold, Dmitry Fuchs, Sergei Tabachnikov

Publication date: 10 May 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05337


zbMATH Keywords

invariant Poisson structuresMöbius-equivalent polygons


Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Elementary problems in hyperbolic and elliptic geometries (51M09)


Related Items (5)

Pentagram maps and refactorization in Poisson-Lie groups ⋮ Self-Bäcklund curves in centroaffine geometry and Lamé’s equation ⋮ Finite Gauss transformations ⋮ Discrete dynamics in cluster integrable systems from geometric \(R\)-matrix transformations ⋮ On centro-affine curves and Bäcklund transformations of the KdV equation




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