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math.DG2025
Morse index stability for p-Yang-Mills connections
Mario Gauvrit, Paul Laurain, Tristan Rivière
We establish the lower semi continuity of the Morse index and the upper continuity of the Morse Index plus nullity of sequences of critical points of the Sacks-Uhlenbeck type relax…
math.DG2025
Huber Theorem revisited in dimensions 2 and 4
Paul Laurain, Dorian Martino
We study the second Huber theorem in dimensions 2 and 4. In dimension 2, we prove a new version assuming that the Gauss curvature lies in a negative Sobolev space using Coulomb fra…