CORDIS Project
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This research investigates the topology of manifolds that have a circular fiber structure, utilizing new algebraic invariants called agrarian polytopes. The goal is to provide a comprehensive understanding of these structures in relation to group theory and their implications for aspherical manifolds.
The study of manifolds that fibre over the circle has a long and exciting history at the core of modern manifold topology, starting with Farrell's work on the problem in high ('surgery') dimensions, and running through the celebrated work of Stallings and Thurston in dimension 3, to Agol's 2013 solution of Thurston's virtual fibring conjecture.
Parallel developments in group theory have placed the study of Bieri-Neumann-Strebel (BNS) invariants, which emerged in the 1980s, at the heart of the su…
THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
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Germany, Bielefeld
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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