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Polygon recutting as a cluster integrable system

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Publication:2700584
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DOI10.1007/s00029-023-00826-1OpenAlexW4318703578MaRDI QIDQ2700584

Anton Izosimov

Publication date: 27 April 2023

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.12503


Mathematics Subject Classification ID

Cluster algebras (13F60) Completely integrable discrete dynamical systems (37J70)


Related Items

Discrete dynamics in cluster integrable systems from geometric \(R\)-matrix transformations



Cites Work

  • Integrable cluster dynamics of directed networks and pentagram maps
  • The devron property
  • Circumcenter of mass and generalized Euler line
  • Some remarks on the circumcenter of mass
  • Integrable deformations of a polygon
  • Extended integrability and bi-Hamiltonian systems
  • Dressing chains and the spectral theory of the Schrödinger operator
  • Recuttings of polygons
  • On the cluster nature and quantization of geometric \(R\)-matrices
  • Dimers, networks, and cluster integrable systems
  • Plabic R-matrices
  • Quivers with additive labelings: classification and algebraic entropy
  • Pentagram maps and refactorization in Poisson-Lie groups
  • Integrable maps
  • Dimers and cluster integrable systems
  • On the Zeros of Polynomials over Division Rings
  • The pentagram map: a discrete integrable system
  • Unnamed Item
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