Semitoric systems of non-simple type

• Joseph Palmer ^[1] ; Álvaro Pelayo ^[2] ; Xiudi Tang ^[3]
  1. [1] University of Antwerp

     University of Antwerp

     Arrondissement Antwerpen, Bélgica

     
  2. [2] Universidad Complutense de Madrid

     Universidad Complutense de Madrid

     Madrid, España

     
  3. [3] Beijing Institute of Technology

     Beijing Institute of Technology

     China

     

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• Localización: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), ISSN-e 1578-7303, Vol. 118, Nº. 4, 2024
• Idioma: inglés
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• Resumen

  • Within 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 V ˜u Ngo. c to non-simple systems.