Proceedings of the Steklov Institute of Mathematics 1995; 186 pp; softcover Volume: 205 ISBN10: 0821804804 ISBN13: 9780821804803 List Price: US$198 Member Price: US$158.40 Order Code: STEKLO/205
 This collection contains new results in the topological classification of integrable Hamiltonian systems. Recently, this subject has been applied to interesting problems in geometry and topology, classical mechanics, mathematical physics, and computer geometry. This new stage of development of the theory is reflected in this collection. Among the topics covered are: classification of some types of singularities of the moment map (including nonBott types), computation of topological invariants for integrable systems describing various problems in mechanics and mathematical physics, construction of a theory of bordisms of integrable systems, and solution of some problems of symplectic topology arising naturally within this theory. A list of unsolved problems allows young mathematicians to become quickly involved in this active area of research. Readership Research mathematicians. Table of Contents  S. S. Anisov  On the topology of an integrable Hamiltonian system in the neighborhood of a degenerate onedimensional trajectory
 E. V. Anoshkina  Topological classification of an integrable case of GoryachevChaplygin type with generalized potential in the dynamics of a rigid body
 A. V. Bolsinov and A. T. Fomenko  Unsolved problems in the theory of topological classification of integrable systems
 A. V. Bolsinov, A. T. Fomenko, and K. Chang  Three types of bordisms of integrable systems with two degrees of freedom. Computation of bordism groups
 N. T. Zung  Topological invariants of integrable geodesic flows on the higherdimensional torus and sphere
 V. V. Kalashnikov  Topological analysis of some systems of intramolecular dynamics of matter
 B. S. Kruglikov  On the extension of the symplectic form and a pair of functions in involution from \(S^1\times I\times T^2\)
 B. S. Kruglikov  Existence of a pair of additional Bott integrals for a resonance Hamiltonian system with two degrees of freedom
 O. E. Orel  Investigation of a neighborhood of a degenerate onedimensional orbit of the Poisson action of \(\mathbb R^2\) in \(M^4\)
 A. A. Oshemkov  Morse functions on twodimensional surfaces. Encoding of singularities
 E. N. Selivanova  The topology of the problem of threepoint vortices
 I. A. Taĭmanov  The topology of Riemannian manifolds with integrable geodesic flows
 P. Topalov  Homological properties of labels of the FomenkoZieschang invariant
 V. V. Trofimov  Generalized Maslov classes on the path space of a symplectic manifold
 Yu. N. Fedorov  A generalized Poinsot interpretation of the motion of a multidimensional rigid body
