Cobordism categories and geometric topology (B09)

• Subject Area: Mathematics
• Term: from 2014 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 129719356

This project is concerned with spaces of manifold automorphisms, spaces of embeddings of manifolds and spaces of geometric structures on manifolds. The methods to be used are geometric or homotopy theoretic. Particularly important are cobordism category methods, parametrized surgery theory, theory of operads and functor calculus. Major themes: rational homotopy properties of homeomorphism groups of Euclidean spaces; homotopy type of spaces of topological embeddings of one euclidean space into another; homotopical properties of spaces of Riemannian metrics on a manifold subject to curvature conditions, such as positive Ricci curvature.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 878: Groups, Geometry and Actions
• Applicant Institution: Universität Münster
• Project Heads: Professor Dr. Johannes Ebert; Professor Dr. Michael Weiss