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On the topology of some moduli spaces of instantons and colouredconfiguration spaces

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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)

Wissenschaftliches Gebiet (EuroSciVoc)

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Thema/Themen

Aufforderung zur Vorschlagseinreichung

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Finanzierungsplan

RGI - Research grants (individual fellowships)

Koordinator

RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITAET BONN
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