Integrable Systems on Singular Symplectic Manifolds: From Local to Global

DOI10.1093/IMRN/RNAB253OpenAlexW3204909416MaRDI QIDQ5871248

Robert Cardona, Eva Miranda

Publication date: 18 January 2023

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

Full work available at URL: https://arxiv.org/abs/2007.10314

zbMATH Keywords

integrable systemssymplectic structuresaction-angle theorem

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

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Reduction theory for singular symplectic manifolds and singular forms on moduli spaces ⋮ Constructions of b-semitoric systems

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