Abstract:
Four-dimensional momentum map singularities of integrable Hamiltonian systems of two degrees of freedom are considered. A construction of an infinite series of pairs of 4-dimensional saddle-saddle singularities is provided so that 4-singularities are not Liouville equivalent in each pair and the 2-foliations on their 3-boundaries are Liouville equivalent.
Key words:Liouville equivalence, almost direct product of atoms, circular molecules, saddle-saddle singularities of the momentum map.
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