CORDIS Project
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This project seeks to establish a universal topological field theory that connects various mathematical disciplines. It aims to provide a comprehensive framework for understanding the topology of manifolds and configuration spaces through graph complexes.
The goal of the proposed project is to create a universal (AKSZ type) topological field theory with values in graph complexes, capturing the rational homotopy types of manifolds, configuration and embedding spaces.If successful, such a theory will unite certain areas of mathematical physics, topology, homological algebra and algebraic geometry.
More concretely, from the physical viewpoint it would give a precise topological interpretation of a class of well studied topological field theories, as…
EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
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