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.
Semitoric systems of non-simple 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.