Palmer, JosephPelayo González, ÁlvaroTang, Xiudi2025-12-172025-12-172024Palmer, J., Pelayo, Á. & Tang, X. Semitoric systems of non-simple type. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 2024 Sept 24; 118 (4): 161.1578-73031579-150510.1007/s13398-024-01656-2https://hdl.handle.net/20.500.14352/129214Within integrable systems, the class of so called “semitoric” integrable systems in dimension four has attracted a lot of attention in recent years, especially since fundamental examples from classical and quantum mechanics have been identified as semitoric by different groups of researchers. Several of these examples, however, show a particular trait not included in the original theory, that is, the presence of multiple (i.e. two or more) rank zero isolated singularities in the same energy-momentum level sets. Systems with this property are called non-simple. This paper extends the original theory of Pelayo and Vũ Ngọc to non-simple systems.engjournal articlehttps://link.springer.com/article/10.1007/s13398-024-01656-2#citeasopen accessSymplectic geometryIntegrable systemsSemitoric systemsClassificationGeometría diferencial1204.04 Geometría Diferencial