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Title
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Survey on recent developments in semitoric systems
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Author
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Abstract
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| Semitoric systems are a special class of completely integrable systems in four dimensions for which one of the rst integrals generates an S1-action. They were classied by Pelayo & V~u Ngo. c in terms of ve symplectic invariants about a decade ago. We give a survey over the recent progress which has been mostly focused on the explicit computation of the symplectic invariants and the generation of new examples. Hereby we also express the coupled angular momenta as a symplectic quotient of an isotropic harmonic oscillator with four degrees of freedom, which allows the radii of the underlying spheres to be interpreted as action values rather than simple parameters. |
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Language
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English
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Source (journal)
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RIMS Kôkyûroku
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Publication
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2019
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Volume/pages
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2137
(2019)
, 19 p.
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Article Reference
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1880-2818
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Medium
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E-only publicatie
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Full text (open access)
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