CORDIS Project
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This project explores the relationship between smooth fibre bundles and high-dimensional manifolds, utilizing homotopy theory to analyze moduli spaces. It aims to uncover new insights into the properties of manifolds and their homotopy-theoretic counterparts, potentially providing answers to longstanding questions in m…
The study of smooth fibre bundles of compact high-dimensional manifolds connects several areas of mathematics such as algebraic and geometric topology, differential geometry, and number theory.
From the perspective of homotopy theory, it amounts to the study of the homotopy type of the moduli space of manifolds.
The two projects this proposal investigate this and related moduli spaces in using techniques from homotopy theory, especially different flavours of functor calculus.Classically, the mod…
KARLSRUHER INSTITUT FUER TECHNOLOGIE
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