Abstract:
We study the topology of the three-dimensional constant-energy manifolds of
integrable Hamiltonian systems realizable in the form of a special class of
so-called ‘molecules’. Namely, for this class of manifolds the Reidemeister
torsion is calculated in terms of the Fomenko-Zieschang invariants.
A connection between the torsion of a constant-energy manifold and stable
periodic trajectories is found.
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