Communications in Mathematical Physics

, Volume 153, Issue 2, pp 321–337 | Cite as

Classification of generic 3-dimensional Lagrangian singularities with (Z2) l -symmetries

  • Stanislaw Janeczko
  • Adam Kowalczyk


The paper provides the complete list of local models forZ 2 l -invariant generic germs of Lagrangian submanifolds of dimension ≦3. Classification is done directly for genrating functions of Lagrangian submanifolds and contains both elementary singularities and non-elementary ones with continuous moduli. The results demonstrate, in particular, that in contrast to the non-equivariant case the classification of equivariant Lagrangian singularities is not subordinated to the classification of symmetric functions up to the right equivariant equivalences.


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Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Stanislaw Janeczko
    • 1
  • Adam Kowalczyk
    • 2
  1. 1.Department of MathematicsMonash UniversityClaytonAustralia
  2. 2.Telecom Australia Research LaboratoriesClaytonAustralia

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