Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra so(4)

Abstract

Topology of Liouville foliations for an analogue of the Kovalevskaya integrable case on Lie algebra so(4) is discussed. Fomenko-Zieschang invariants (i.e. marked molecules) were calculated for these foliations on every regular isoenergy submanifold. The corresponding stratification of the three-dimensional space of parameters of these manifolds is described in details.