Title
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Faithful semitoric systems
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Author
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Abstract
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This paper consists of two parts. The first provides a review of the basic properties of integrable and almost-toric systems, with a particular emphasis on the integral affine structure associated to an integrable system. The second part introduces faithful semitoric systems, a generalization of semitoric systems (introduced by Vu Ngoc and classified by Pelayo and Vu Ngoc) that provides the language to develop surgeries on almost-toric systems in dimension 4. We prove that faithful semitoric systems are natural building blocks of almost-toric systems. Moreover, we show that they enjoy many of the properties that their (proper) semitoric counterparts do. |
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Language
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English
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Source (journal)
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Symmetry, Integrability and Geometry: Methods and Applications
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Publication
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2018
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ISSN
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1815-0659
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DOI
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10.3842/SIGMA.2018.084
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Volume/pages
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14
(2018)
, 66 p.
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Article Reference
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084
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ISI
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000442485200001
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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Full text (open access)
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