3 papers
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 sam…
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…
math.DG2024
Optimal smooth approximation of integral cycles
Fredrick Almgren, William Browder, Gianmarco Caldini +1
In this article we prove that each integral cycle in an oriented Riemannian manifold can be approximated in flat norm by an integral cycle in the same homology cl…