Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems
DOI10.1016/j.topol.2023.108577WikidataQ123125609 ScholiaQ123125609MaRDI QIDQ6053440
Publication date: 27 September 2023
Published in: Topology and its Applications (Search for Journal in Brave)
eigenvaluesmoduli spaceHamiltonian systemintegrable systemsymplectic manifoldspectral geometryopen problemsmomentum mapsemitoric systemDelzant polytopetoric system
Symplectic manifolds (general theory) (53D05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Moduli problems for differential geometric structures (58D27) Momentum maps; symplectic reduction (53D20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Symplectic structures of moduli spaces (53D30) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
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