Under epsilon-regularity assumptions on a suitable class of stationary integral n-varifolds, the branch set of density ≤ Q has Hausdorff dimension ≤ n-2.
Structure of two-dimensional mod (q) area- minimizing currents near flat singularities: the codimension one case.arXiv preprint arXiv:2506.17813,
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A Branch Set Stratification for Stationary Varifolds with Epsilon-Regularity
Under epsilon-regularity assumptions on a suitable class of stationary integral n-varifolds, the branch set of density ≤ Q has Hausdorff dimension ≤ n-2.