CORDIS Project
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This project explores moduli spaces of manifolds using homotopy theory, aiming to understand their homology from a multiplicative perspective. It seeks to establish connections between various mathematical structures, enhancing knowledge in algebra and topology.
Moduli spaces are spaces which describe all mathematical objects of some type.
This proposal concerns the study of certain moduli spaces via techniques from homotopy theory, from several different points of view.
The main moduli spaces in which we are interested are moduli spaces of manifolds, or equivalently classifying spaces of diffeomorphism groups of manifolds.
We are also interested in spaces of positive scalar curvature metrics on smooth manifolds, which we study by relating them to modul…
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