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Integrable hamiltonian systems and three-dimensional topology.

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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.

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Ruhr-Universität Bochum
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Adresse
Universitätsstraße 150
44801 Bochum
Deutschland

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Beteiligte (2)

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Letzte Aktualisierung: 19 September 1996

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Permalink: https://cordis.europa.eu/project/id/INTAS-94-3666/de

European Union, 2024