AV Bolsinov, SV Matveev, AT Fomenko, “Topological classification of integrable Hamiltonian
systems with two degrees of freedom. List of systems of small complexity”, Uspekhi Mat …

A new topological invariant is constructed which classifies integrable Hamiltonian systems
with two degrees of freedom (admitting a Bott integral). A criterion for the equivalence of Bott …

В работе строится новый топологический инвариант, классифицирующий
интегрируемые гамильтоновы системы с двумя степенями свободы (обладающие …

The complexity of a 3-manifold is a whole number which measures how complicated a
combinatorial description of the manifold must be. It has many pleasant properties, among …

Classical and new results on integrable geodesic flows on two-dimensional surfaces are
reviewed. The central question is the classification of such flows up to various equivalences …

1.1. История вопроса. Математический биллиард–движение материальной точки
(шара) в плоской области, ограниченной кусочно гладкой кривой. Вопросам об …

This paper is based on the series of lectures which were delivered by the author in 1989 at
the Mathematical Sciences Research Institute in Berkeley. As part of the year-long 1988 …

Geodesic flows of Riemannian metrics on manifolds are one of the classical objects in
geometry. A particular place among them is occupied by integrable geodesic flows. We …

Let $ M $ be a smooth closed orientable surface, and let $ F $ be the space of Morse
functions on $ M $ such that at least $\chi (M)+ 1$ critical points of each function of $ F $ are …

Let be a smooth closed orientable surface. Let be the space of Morse functions on with a
fixed number of critical points of each index such that at least critical points are labelled by …