# New Results in the Theory of Topological Classification of Integrable Systems

Share this page *Edited by *
*A. T. Fomenko*

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 non-Bott
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.