Currents and Flat Chains Associated to Varifolds, with an Application to Mean Curvature Flow

Abstract

We prove under suitable hypotheses that convergence of integral varifolds implies convergence of associated mod 2 flat chains and subsequential convergence of associated integer-multiplicity rectifiable currents. The convergence results imply restrictions on the kinds of singularities that can occur in mean curvature flow.

16 pages. Revised to correct one typo (in equation (12))

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