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Mean curvature flow with surgery (1404.2332v1)
Published 8 Apr 2014 in math.DG and math.AP
Abstract: We give a new proof for the existence of mean curvature flow with surgery of 2-convex hypersurfaces in $RN$, as announced in arXiv:1304.0926. Our proof works for all $N \geq 3$, including mean convex surfaces in $R3$. We also derive a priori estimates for a more general class of flows in a local and flexible setting.