Superintegrable systems on moduli spaces of flat connections

DOI10.1007/s00220-021-04128-5zbMath1483.37072arXiv1909.08682OpenAlexW3190823460MaRDI QIDQ2050064

Nicolai Reshetikhin, Semeon Arthamonov

Publication date: 30 August 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08682

zbMATH Keywords

Poisson structureRuijsenaars-Schneider modelssuperintegrable Hamiltonian systemsPoisson variety

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relationships between algebraic curves and integrable systems (14H70) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)

Related Items

Poisson reductions of master integrable systems on doubles of compact Lie groups, Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of \({\mathrm{U}}(n)\), Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction

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