3 papers
math.DG2025
Coulomb Gauges and Regularity for Stationary Weak YangMills Connections in Supercritical Dimension
Riccardo Caniato, Tristan Rivière
We prove that stationary YangMills fields in dimensions 5 belonging to the variational class of weak connections are smooth away from a closed singular set of vanishing 1-di…
math.DG2025
Symmetric log-epiperimetric inequality for harmonic maps with analytic target and applications
Riccardo Caniato, Davide Parise
We establish a direct symmetric (log)-epiperimetric inequality for harmonic maps with analytic target and we leverage on this result to achieve a new proof of Simon's celebrated un…
math.DG2024
Almost minimizing YangMills fields: log-epiperimetric inequality, non-concentration, and uniqueness of tangents
Riccardo Caniato, Davide Parise
We establish a direct log-epiperimetric inequality for YangMills fields in arbitrary dimension and we leverage on it to prove uniqueness of tangent cones with isolated singulari…