CORDIS Project
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This project explores advanced mathematical techniques in topology and geometry, focusing on knot theory and Floer homology. It aims to develop new invariants and tools that could have implications for understanding complex mathematical problems.
This project aims to build a group that brings together experts in gauge-theoretic, geometric, and group-theoretic techniques.
It consists of 4 branches. 1.
Cobordism maps in knot Floer homology (HFK).
Defined by the PI, these should yield invariants of surfaces in 4-manifolds.
Hence, they could be used to bound the 4-ball genus and the unknotting number, providing a tool for finding a counterexample to the smooth 4-dimensional Poincaré conjecture, and to decide whether a given slice knot bounds…
THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Partner organizations (coordinator is shown above), with normalized type and CORDIS activity type. Guests see up to 4 partners.
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