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math.DG2026
Minimal surfaces, Knots, and Neural Networks
Tancredi Schettini Gherardini, Marco Usula
A recent conjecture by Joel Fine posits a relationship between the coefficients of the HOMFLY polynomial of a knot in the 3-sphere , and the signed count of minimal surfac…
math.DG2026
Nahm Poles and 0-Instantons
Marco Usula
We study self-dual 0-connections, or 0-instantons, on asymptotically hyperbolic 4-manifolds. These connections develop a uniform singularity along the conformal infinity, and are a…