Objective
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.
Fields of science (EuroSciVoc)
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
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Coordinator
44801 Bochum
Germany
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.