CORDIS Project
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This project investigates the structure and properties of diffeomorphism groups and mapping class groups in two and three dimensions. It aims to deepen the understanding of these mathematical concepts through advanced techniques in homotopy theory and topology, with potential applications in theoretical physics and geo…
The scientific goal of the proposal is to answer central questions related to diffeomorphism groups of manifolds of dimension 2 and 3, and to their deformation invariant analogs, the mapping class groups.
While the classification of surfaces has been known for more than a century, their automorphism groups have yet to be fully understood.
Even less is known about diffeomorphisms of 3-manifolds despite much interest, and the objects here have only been classified recently, by the breakthrough wor…
KOBENHAVNS UNIVERSITET
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