Graph-manifolds and integrable Hamiltonian systems

K. I. Solodskikh

Sbornik. Mathematics, Tome 209 (2018) no. 5, pp. 739-758

Résumé

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. Bibliography: 17 titles.

Détail

Keywords: Waldhausen graph-manifold, marked molecules, Hamiltonian systems.
Mots-clés : Reidemeister torsion, Fomenko-Zieschang invariants

Bibliographie

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