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On the topological rigidity of self shrinkers in $\mathbb{R}^3$ (1708.06581v3)
Published 22 Aug 2017 in math.DG
Abstract: In this note we show that compact self shrinkers in $\mathbb{R}3$ are "topologically standard" in that any genus $g$ compact self shrinker is ambiently isotopic to the standard genus $g$ embedded surface in $\mathbb{R}3$. As a consequence self shrinking tori are unknotted.
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