Objective
Research objectives and content
The aim of this project is to study the topology of some moduli spaces of instantons, viewed as rational curves in a loop group. The instantons described by maps into the algebraic loop group correspond to some coloured configurations. I plan to apply the spectral sequence I am elaborating in my current project 'the topology of spaces of rational curves' and geometric considerations, to understand the homology of the spaces in question.
Training content (objective, benefit and expected impact)
The collaboration with Prof. Boedigheimer for his experience in the homotopy theory of configuration spaces will be essential. The interaction with the differential geometry group and the global analysis group will also be important.
Links with industry / industrial relevance (22)
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques.
- natural sciencesmathematicspure mathematicstopology
- natural sciencesmathematicspure mathematicsgeometry
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Call for proposal
Data not availableFunding Scheme
RGI - Research grants (individual fellowships)Coordinator
53115 BONN
Germany