We prove that the moduli space of 2-convex embedded n-spheres in Rn+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 metrics on three-manifolds [21].

The moduli space of two-convex embedded spheres

Buzano R.;
2021

Abstract

We prove that the moduli space of 2-convex embedded n-spheres in Rn+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 metrics on three-manifolds [21].
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Buzano R.; Haslhofer R.; Hershkovits O.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/1808250
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