https://neckpinch.com/authors/kahnrad-braxton/New arXiv papers by Kahnrad Braxton, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2609.19648/arxiv:2609.19648Thu, 17 Sep 2026 00:00:00 GMTKahnrad Braxton, Tang-Kai Lee, Jonathan J. Zhu — We prove the linear stability of an embedded mean curvature flow shrinker in ℝ⁴ with the topology of the Möbius bundle. This provides a non-flat, non-spherical stable shrinker in higher codimension, in sharp contrast with the classification of stable hypersurface shrinkers. Topologically, the Möbius shrinker models the reversal of a real blow-up, suggesting that stable higher-codimension singularities may encode non-trivial topological operations under mean curvature flow.Mean curvature flowRicci solitonsSelf-shrinkers & translatorsSingularitiesStability & uniqueness