Objetivo This project includes research on the topological classification of hamiltonian systems, in particular the classification of trajectories, problems of classical mechanics and the dynamics of a rigid body; the relation to Seifert fibred spaces and graph manifolds; methods for calculating the cohomology of diffeomorphism groups and loop manifolds; the index theory of the Dirac-Ramon operator on loop manifolds, together with applications to quantum field theory; conditions for the existence of Bott functions whose singularities form a torus; conditions for the existence of a closed orbit in a hamiltonian system with a Bott function; the first obstruction to the topological equivalence of hamiltonian systems. A further development of the computer analysis for classification problems will take place in low-dimensional topology, in the theory of integrable hamiltonian systems and of local minimal networks, and of some other problems concerning the topology of manifolds. Programa(s) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Tema(s) 21 - Mathematics Convocatoria de propuestas Data not available Régimen de financiación Data not available Coordinador Ruhr-Universität Bochum Aportación de la UE Sin datos Dirección Universitätsstraße 150 44801 Bochum Alemania Ver en el mapa Coste total Sin datos Participantes (2) Ordenar alfabéticamente Ordenar por aportación de la UE Ampliar todo Contraer todo Centre National de la Recherche Scientifique Francia Aportación de la UE Sin datos Dirección 31062 Toulouse Ver en el mapa Coste total Sin datos Moscow State University M.V. Lomonosov Rusia Aportación de la UE Sin datos Dirección 119899 Moscow Ver en el mapa Coste total Sin datos