Realization of Fomenko-Zieschang invariants in closed symplectic manifolds with contact singularities

DOI10.1070/SM9579zbMath1503.37069OpenAlexW4206779072MaRDI QIDQ5084677

Vladislav I. Sidel'Nikov, D. B. Zot'ev

Publication date: 28 June 2022

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9579

zbMATH Keywords

Fomenko-Zieschang invariantmarked moleculecontact singularitytheta handle

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topological invariants of Liouville integrable Hamiltonian systems
• Phase topology of the first Appelrot class of a Kowalewski top in a magnetic field
• Fomenko-Zieschang invariants of integrable systems with symplectic singularities
• Symplectic geometry of manifolds with almost nowhere vanishing closed 2-form
• Kostant prequantization of symplectic manifolds with contact singularities
• A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM
• Contact degeneracies of closed 2-forms

This page was built for publication: Realization of Fomenko-Zieschang invariants in closed symplectic manifolds with contact singularities