A family of compact semitoric systems with two focus-focus singularities
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Publication:1734865
DOI10.3934/jgm.2018012zbMath1428.37053arXiv1710.05746OpenAlexW2963352714WikidataQ129298579 ScholiaQ129298579MaRDI QIDQ1734865
Publication date: 27 March 2019
Published in: Journal of Geometric Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.05746
symplectic geometryHamiltonian systemfocus-focus singularityintegrable systemmomentum mapsemitoric integrable system
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20)
Related Items (14)
Hamiltonian monodromy and Morse theory ⋮ Symplectic and inverse spectral geometry of integrable systems: a glimpse and open problems ⋮ Packing densities of Delzant and semitoric polygons ⋮ Taylor series and twisting-index invariants of coupled spin-oscillators ⋮ Symplectic geometry and spectral properties of classical and quantum coupled angular momenta ⋮ Constructions of b-semitoric systems ⋮ Vũ Ngọc's conjecture on focus-focus singular fibers with multiple pinched points ⋮ Symplectic invariants of semitoric systems and the inverse problem for quantum systems ⋮ Characterization of toric systems via transport costs ⋮ Classifying toric and semitoric fans by lifting equations from \(\mathrm{SL}_2(\mathbb{Z})\) ⋮ The height invariant of a four-parameter semitoric system with two focus-focus singularities ⋮ Symplectic classification of coupled angular momenta ⋮ A family of semitoric systems with four focus-focus singularities and two double pinched tori ⋮ Existence of pseudoheavy fibers of moment maps
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