Focus-focus fibers of semitoric systems are displaceable when the straightened momentum polytope leaves enough room, and the paper classifies all fibers in three example families.
Constructing integrable systems of semitoric type
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(Non)displaceability in semitoric systems
Focus-focus fibers of semitoric systems are displaceable when the straightened momentum polytope leaves enough room, and the paper classifies all fibers in three example families.