Calculus of Variations and Geometric Measure Theory
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R. Buzano - R. Haslhofer - O. Hershkovits

The moduli space of two-convex embedded spheres

created by muller on 12 Jun 2018



Inserted: 12 jun 2018
Last Updated: 12 jun 2018

Year: 2016

ArXiv: 1607.05604 PDF


We prove that the moduli space of 2-convex embedded n-spheres in R{n+1} is path-connected for every n. Our proof uses mean curvature flow with surgery and can be seen as an extrinsic analog to Marques' influential proof of the path-connectedness of the moduli space of positive scalar curvature metics on three-manifolds.

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