Hamiltonian and symplectic symmetries: An introduction

DOI10.1090/bull/1572zbMath1451.53003arXiv1610.09718OpenAlexW2544912403WikidataQ125705319 ScholiaQ125705319MaRDI QIDQ5122446

Álvaro Pelayo

Publication date: 22 September 2020

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09718

zbMATH Keywords

torus actionsymplectic capacitysymplectic reductionsymplectic actionHamiltonian actionDelzant polytopesymplectic categoryfundamental form of a symplectic action

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Symplectic and contact topology in high or arbitrary dimension (57R17) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Moduli problems for differential geometric structures (58D27) Momentum maps; symplectic reduction (53D20) Global theory of symplectic and contact manifolds (53D35) Group actions on manifolds and cell complexes in low dimensions (57M60) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02)

Related Items (7)

Spectral asymptotics of semiclassical unitary operators ⋮ Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems ⋮ Symplectic geometry and spectral properties of classical and quantum coupled angular momenta ⋮ Symplectic invariants of semitoric systems and the inverse problem for quantum systems ⋮ Open problems, questions and challenges in finite- dimensional integrable systems ⋮ A family of compact semitoric systems with two focus-focus singularities ⋮ Symplectic embedding problems, old and new

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