We give a new proof for the existence of mean curvature flow with surgery of -convex hypersurfaces in . Our proof works for all , including mean convex surfaces in . We also derive a priori estimates for a more general class of flows in a local and flexible setting.
"Mean curvature flow with surgery." Duke Math. J. 166 (9) 1591 - 1626, 15 June 2017. https://doi.org/10.1215/00127094-0000008X