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In this short note, we observe that the Bamler-Kleiner proof of uniquenessand stability for 3-dimensional Ricci flow through singularities generalizes tosingular Ricci flows in higher dimensions that satisfy an analogous canonicalneighborhood property. In particular, this gives a canonical evolution throughsingularities for manifolds with positive isotropic curvature. The newingredients we use are the recent classification of higher dimensional$\kappa$-solutions by Brendle, Daskalopoulos, Naff and Sesum, and the maximumprinciple for the linearized Ricci-DeTurck flow on locally conformally flatmanifolds due to Chen and Wu.

Uniqueness and stability of singular Ricci flows in higher dimensions