New Results in the Theory of Topological Classification of Integrable Systems

On the topology of an integrable Hamiltonian system in the neighborhood of a degenerate one-dimensional trajectory by S. S. Anisov Topological classification of an integrable case of Goryachev-Chaplygin type with generalized potential in the dynamics of a rigid body by E. V. Anoshkina Unsolved problems in the theory of topological classification of integrable systems by A. V. Bolsinov and A. T. Fomenko Three types of bordisms of integrable systems with two degrees of freedom. Computation of bordism groups by A. V. Bolsinov, A. T. Fomenko, and K. Chang Topological invariants of integrable geodesic flows on the higher-dimensional torus and sphere by N. T. Zung Topological analysis of some systems of intramolecular dynamics of matter by V. V. Kalashnikov On the extension of the symplectic form and a pair of functions in involution from $S^1\times I\times T^2$ by B. S. Kruglikov Existence of a pair of additional Bott integrals for a resonance Hamiltonian system with two degrees of freedom by B. S. Kruglikov Investigation of a neighborhood of a degenerate one-dimensional orbit of the Poisson action of $\mathbb R^2$ in $M^4$ by O. E. Orel Morse functions on two-dimensional surfaces. Encoding of singularities by A. A. Oshemkov The topology of the problem of three-point vortices by E. N. Selivanova The topology of Riemannian manifolds with integrable geodesic flows by I. A. Taimanov Homological properties of labels of the Fomenko-Zieschang invariant by P. I. Topalov Generalized Maslov classes on the path space of a symplectic manifold by V. V. Trofimov A generalized Poinsot interpretation of the motion of a multidimensional rigid body by Yu. N. Fedorov.