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math.DG2025
On smooth approximation of integral cycles mod 2
Gianmarco Caldini
We prove that every mod 2 integral cycle in a Riemannian manifold can be approximated in flat norm by a cycle which is a smooth submanifold of nearly the same…
math.DG2025
Hausdorff measure bounds for density- flat singularities of minimizing integral currents
Gianmarco Caldini, Anna Skorobogatova
In this article we prove that the set of flat singular points of locally highest density of area-minimizing integral currents of dimension and general codimension in a smooth R…